Authors: Khan, Waseem Ahmad, Nisar, Kottakkaran Sooppy, Açıkgöz, Mehmet, Duran, Uğur, Abusufian, Abdallah Hassan
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Gould-Hopper polynomials, Monomiality principle, Summation formula, Symmetric identity, Unified Apostol-type polynomials, Mathematics - Pure Maths - Stirling Numbers, Euler Polynomials, Bernoulli Numbers, Degenerate, Fourier expansşions, Integral-Representations, Genocchi polynomials, Generating-Functions, Symmetry identities, Bernoulli, Formulas
File Description: application/pdf
Relation: Journal of Mathematics and Computer Science; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Emerging Sources Citation Index; http://dx.doi.org/10.22436/jmcs.024.04.01; https://hdl.handle.net/20.500.12508/2203; 24; 287; 298
Authors: Khan, Waseem Ahmad, Younis, Jihad, Duran, Uğur, Iqbal, Azhar
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Type 2 Daehee polynomials, Higher-order type 2 Daehee polynomials, p-adic integral, The central factorial numbers of the second kind, Stirling numbers of the first and second kinds, Mathematics - Pure Maths - Stirling Numbers, Number theory, High-order type 2 daehee polynomial, Higher order types, Integral representation, Property, Stirling numbers of the first kinds, Stirling numbers of the second kinds, The central factorial number of the second kind, Type 2 daehee polynomial, Polynomials, Bernoulli, Z(P)
File Description: application/pdf
Relation: Applied Mathematics in Science and Engineering; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.1080/27690911.2022.2114470; https://hdl.handle.net/20.500.12508/2204; 30; 573; 582
Authors: Khan, Waseem Ahmad, Muhiuddin, Ghulam, Duran, Uğur, Al-Kadi, Deena
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: (p, q)-numbers, q)-sine polynomials, q)-cosine polynomials, q)-special polynomials, q)-Fubini polynomials, q) Stirling numbers of the second kind, Euler Polynomials, Bernoulli Numbers, Degenerate, Science & Technology - Other Topics, Mathematics - Functional Analysis - Statistical Convergence, Numbers
File Description: application/pdf
Relation: Symmetry; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.3390/sym14030527; https://hdl.handle.net/20.500.12508/2215; 14
Authors: Çakmak, Musa, Alkan, Sertan
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Bilgisayar Mühendisliği Bölümü, Alkan, Sertan
Subject Terms: Collocation method, Fibonacci polynomials, The systems of nonlinear Pantograph differential equation, Fixed Point Theorem, Integral Boundary Conditions, Banach Contraction Principle, Engineering, Mathematics - Numerical Methods - Fractional Calculus, Nonlinear equations, Numerical methods, Pantographs, Polynomials, Absolute error function, Approximate solution, Collocation points, Initial conditions, Nonlinear algebraic systems, Performance, Unknown coefficients, Differential equations
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Relation: Alexandria Engineering Journal; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.1016/j.aej.2021.07.028; https://hdl.handle.net/20.500.12508/2418; 61; 2651; 2661
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: (p, q)-calculus, Cosine polynomials, q)-geometric polynomials, q)-trigonometric functions, Geometric polynomials, Sine polynomials, Euler Polynomials, Bernoulli Numbers, Degenerate, Mathematics, Mathematics - Functional Analysis - Statistical Convergence, Numbers
File Description: application/pdf
Relation: Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.3390/math10152709; https://hdl.handle.net/20.500.12508/2289; 10; 15
Authors: Duran, Uğur, Aracı, Serkan, Açıkgöz, Mehmet
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Bell polynomials, Bernoulli polynomials, Derivative properties, Mixed-type polynomials, Stirling numbers of the second kind, Summation formulas, Umbral calculus, Euler Polynomials, Bernoulli Numbers, P-Adic Q-Integral, Mathematics, Applied
File Description: application/pdf
Relation: Axioms; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.3390/axioms10010029; https://hdl.handle.net/20.500.12508/1756; 10
Authors: Khan, Waseem Ahmad, Nisar, Kottakkaran Sooppy, Açıkgöz, Mehmet, Duran, Uğur, Abusufian, Abdallah Hassan
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Gould-Hopper polynomials, Monomiality principle, Summation formula, Symmetric identity, Unified Apostol-type polynomials, Euler Polynomials, Bernoulli Numbers, P-Adic Q-Integral, Mathematics, Fourier expansions, Integral-representations, Genocchi polynomials, Generating-functions, Symmetry identities, Bernoulli, Formulas
File Description: application/pdf
Relation: Journal of Mathematics and Computer Science; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Emerging Sources Citation Index; http://dx.doi.org/10.22436/jmcs.024.04.01; https://hdl.handle.net/20.500.12508/2035; 24; 287; 298
Authors: Muhiuddin, Ghulam, Khan, Waseem Ahmad, Duran, Uğur
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Polyexponential function, Fubini polynomials, Poly-Fubini polynomials, Unipoly function, Stirling numbers, Mathematics, Euler Polynomials | Bernoulli Numbers | P-Adic Q-Integral
File Description: application/pdf
Relation: Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; Muhiuddin, G., Khan, W.A., Duran, U. (2021). Two-Variable Type 2 Poly-Fubini Polynomials. Mathematics, 9(3), 1-13. DOI:10.3390/math9030281; https://doi.org/10.3390/math9030281; https://hdl.handle.net/20.500.12508/1705; 13
Authors: Muhiuddin, Ghulam, Khan, Waseem Ahmad, Duran, Uğur, Al-Kadi, Deena
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Hypergeometric bernoulli polynomials, Lagrange polynomials, Hypergeometric Lagrange– Hermite–Bernoulli polynomials, Confluent hypergeometric function, Special polynomials, Multidisciplinary Sciences, Matrix Polynomial, Recurrence Relation, Hypergeometric Functions
File Description: application/pdf
Relation: Symmetry; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.3390/sym13040648; https://hdl.handle.net/20.500.12508/1740; 13
Authors: Duran, Uğur, Açıkgöz, Mehmet, Aracı, Serkan
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Polylogarithm function, Polyexponential function, Frobenius-Genocchi polynomials, Poly-Frobenius-Genocchi polynomials, Mathematics, Applied, Euler Polynomials | Bernoulli Numbers | P-Adic Q-Integral, Identities, Families
File Description: application/pdf
Relation: Advances in Difference Equations; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.1186/s13662-020-02889-2; https://hdl.handle.net/20.500.12508/1457; 2020
Authors: Duran, Uğur, Açıkgöz, Mehmet
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur, orcid:0000-0002-5717-1199, orcid:0000-0003-1091-9697
Subject Terms: Degenerate exponential function, Truncated exponential function, Special polynomials, Special numbers, Exponential generating function, Bell polynomials, Mathematics, Polynomial | Identity | Fermionic p-adic
File Description: application/pdf
Relation: Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.3390/math8010144; https://hdl.handle.net/20.500.12508/1143
Authors: Muhiuddin, G., Khan, Waseem Ahmad, Duran, Uğur, Al-Kadi, Deena S.
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Mathematics, Euler Polynomials, Bernoulli Numbers, P-Adic Q-Integral
File Description: application/pdf
Relation: Journal of Function Spaces; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science - Scopus; Web of Science Core Collection - Science Citation Index Expanded; https://doi.org/10.1155/2021/7172054; https://hdl.handle.net/20.500.12508/2032; 2021
Authors: Duran, Uğur, Açıkgöz, Mehmet
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, orcid:0000-0002-5717-1199, orcid:0000-0003-1091-9697, Duran, Uğur
Subject Terms: Mahler expansion, P-adic euler constant, P-adic gamma function, P-adic numbers, Q-Daehee polynomials, Stirling numbers of the first kind, Polynomial | Identity | Fermionic p-adic
File Description: application/pdf
Relation: Proyecciones; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Scopus; https://doi.org/10.22199/issn.0717-6279-2019-04-0052; https://hdl.handle.net/20.500.12508/1077; 38; 799; 810
Authors: Duran, Ugur, Acikgoz, Mehmet
Contributors: İskenderun Teknik Üniversitesi
Subject Terms: Fubini polynomials, Euler polynomials, Bernoulli polynomials, truncated exponential polynomials, Stirling numbers of the second kind
Relation: MATHEMATICS; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science; https://doi.org/10.3390/math7050431; https://hdl.handle.net/20.500.12508/551
Authors: Duran, Uğur, Açıkgöz, Mehmet
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, Duran, Uğur
Subject Terms: Bernoulli polynomials, Euler polynomials, Fubini polynomials, Stirling numbers of the second kind, Truncated exponential polynomials, Mathematics, Polynomial | Identity | Fermionic p-adic
File Description: application/pdf
Relation: Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science Core Collection - Science Citation Index Expanded; Web of Science - Scopus; https://doi.org/10.3390/math7050431; https://hdl.handle.net/20.500.12508/1067
Authors: Duran, Uğur, Sadjang, Patrick Njionou
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi, orcid:0000-0002-5717-1199, Duran, Uğur
Subject Terms: Gould-Hopper Polynomials, Bernoulli Polynomials, Hermite Polynomials, Poly Bernoulli Polynomials, Stirling Numbers of Second Kind, Polylogarithm Functions, Cauchy Product, Polynomial | Identity | Fermionic p-adic, Mathematics, extensions, identities, hermite
File Description: application/pdf
Relation: Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science (ESCI) - Scopus; Duran, U., Sadjang, P. N. (2019). On Gould-Hopper-based fully degenerate poly-Bernoulli polynomials with a q-parameter. Mathematics, 7(2), 1-14. doi:10.3390/math7020121; https://doi.org/10.3390/math7020121; https://hdl.handle.net/20.500.12508/581
Authors: Duran, Uğur, Açıkgöz, Mehmet
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, orcid:0000-0002-5717-1199, orcid:0000-0003-1091-9697, Duran, Uğur
Subject Terms: p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, q-Daehee polynomials, p-adic q-integral, Multidisciplinary Sciences, Polynomial | Identity | Fermionic p-adic, Numbers
File Description: application/pdf
Relation: Maejo International Journal of Science and Technology; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science Core Collection - Science Citation Index Expanded; Web of Science - Scopus; Duran, U., Acikgoz, M. (2019). Multifarious correlations for p-adic gamma function and weighted q-daehee polynomials. Maejo International Journal of Science and Technology, 13(3), 209-216.; https://hdl.handle.net/20.500.12508/1244; 13; 209; 216
Authors: Duran, Uğur, Açıkgöz, Mehmet, Aracı, Serkan
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, orcid:0000-0002-5717-1199, orcid:0000-0003-1091-9697, Duran, Uğur
Subject Terms: q-calculus, Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Apostol-Genocchi polynomials, Stirling numbers of second kind, Fermionic p-adic integral, p-adic numbers, Mathematics, Frobenius-euler polynomials, Bernoulli polynomials, q-extensıons, Identities, Numbers, Order
File Description: application/pdf
Relation: Notes On Number Theory And Discrete Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science Core Collection - Emerging Sources Citation Index; https://doi.org/10.7546/nntdm.2019.25.3.72-86; https://hdl.handle.net/20.500.12508/1235; 25; 72; 86
Authors: Açıkgöz, Mehmet, Aracı, Serkan, Duran, Uğur
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi -- Mühendislik Temel Bilimleri Bölümü, orcid:0000-0003-1091-9697, orcid:0000-0002-3950-6864, orcid:0000-0002-5717-1199, Duran, Uğur
Subject Terms: (p,q)-calculus, Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Generating function, Mathematics, Polynomial | Identity | Fermionic p-adic, Bernoulli
File Description: application/pdf
Relation: Acta Et Commentationes Universitatis Tartuensis De Mathematica; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science Core Collection - Emerging Sources Citation Index; Web of Science - Scopus; https://doi.org/10.12697/ACUTM.2019.23.04; https://hdl.handle.net/20.500.12508/1212; 23; 37; 50
Authors: Duran, Uğur, Açıkgöz, Mehmet
Contributors: Mühendislik ve Doğa Bilimleri Fakültesi, Duran, Uğur
Subject Terms: (P, Q)-Calculus, Bernoulli Polynomials, Cauchy Product, Euler Polynomials, Frobenius-Euler Polynomials, Generating Function, Genocchi Polynomials, Polynomial | Identity | Fermionic p-adic, Mathematics, q-extensions, bernoulli, identities
File Description: application/pdf
Relation: Kragujevac Journal of Mathematics; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; Web of Science (ESCI) - Scopus; Duran, U., Acikgoz, M. (2018). Apostol type (P, Q)-Frobenius-euler polynomials and numbers. Kragujevac Journal of Mathematics, 42(4), 555-567. doi:10.5937/kgjmath1804555d; https://doi.org/10.5937/kgjmath1804555d; https://hdl.handle.net/20.500.12508/485; 42; 555; 567