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INDETERMINED MOMENT PROBLEMS RELATED TO q-FUNCTIONAL EQUATIONS.

Bibliographic Details
Title: INDETERMINED MOMENT PROBLEMS RELATED TO q-FUNCTIONAL EQUATIONS.
Authors: LÓPEZ-GARCÍA, M.
Superior Title: Theory of Probability & Its Applications; 2020, Vol. 65 Issue 3, p482-496, 15p
Subject Terms: EQUATIONS
Abstract: For q ∈ (0, 1), p1, p2, p ∈ ℝ+, we characterize all the solutions of the q-functional equations (1+p2q1/2x)f(qx) = qβ-1/2(x+p1q-1/2)f(x) and f(qx) = qβ-1(x²+p²q-1)f(x), x > 0, β ∈ ℝ, and we also show that these solutions solve corresponding indetermined moment problems. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
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