On multi-index Whittaker function, related integrals and inequalities

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-37

Musharraf Ali, J. Paneva-Konovska, T. Pogány

引用次数: 0

Abstract

. A new generalization of Whittaker function M λ , µ ( z ) is introduced and studied by means of the extended multi-index conﬂuent hypergeometric function of the ﬁrst kind Φ ( γ i ) , p ( α i , β i ) introduced in [1]. The related Euler–type integral representation and the Laplace–Mellin and Hankel integral transforms are also presented. Functional two–sided bounding inequality is established for the multi-index Mittag-Lefﬂer function, and in continuation functional lower bound is derived for the associated ML-extended Whittaker function.

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关于多指标Whittaker函数，相关积分和不等式

．利用[1]中引入的第一类扩展多指数合流超几何函数Φ (γ i)， p (α i， β i)，给出了Whittaker函数M λ，µ(z)的一个新的推广。给出了相关的欧拉型积分表示和Laplace-Mellin和Hankel积分变换。建立了多指标Mittag-Leffler函数的泛函双面边界不等式，并推导了相应的ml扩展Whittaker函数的泛函下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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