Canonical products of small order and related Pick functions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:175

Article

Pedersen, HL

关键词: Pick function;    completely monotone function;    q-gamma function;   

DOI  :  10.1016/j.cam.2004.05.011

来源: Elsevier

【 摘 要 】

We show that various functions related to the logarithms of the canonical products P-p(z) = Pi(n=1)(infinity) (1 + z/n(p)) p > 1 and Q(z) = Pi(n=0)(infinity) (1 + zq(n)), q is an element of (0, 1) are Pick functions. As a consequence we find an integral expansion of a function involving the logarithm of Jacksons q-gamma function. (C) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

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