Integral transform with generalized confluent hypergeometric function
type: Item
instance of: scholarly article
title: Integral transform with generalized confluent hypergeometric function
zbMATH Open document ID: 0877.33001
DOI: 10.1007/BF02366584
author: M. R. Dotsenko
author: V. V. Skopetsky
published in: Cybernetics and Systems Analysis
publication date: 1997-08-24T00:00:00Z
review text: The authors introduce the following generalized confluent hypergeometric function: \[ {}_1\Phi_1^{\omega,\mu}(z)= \frac{\Gamma(c)}{\Gamma(a)} \sum_{n=0}^\infty\;\frac{\Gamma[a+(\omega/ \mu)n]z^n}{\Gamma[c+(\omega/ \mu)n]n!} \] and studied some of its important properties. They have also introduced an integral transform with a kernel containing the function \({}_1\Phi_1^{\omega,\mu}(z)\) and established its inversion formula.
Mathematics Subject Classification ID: 33C15
zbMATH DE Number: 1051134
zbMATH Keywords: confluent hypergeometric function
zbMATH Keywords: integral transform
zbMATH Keywords: inversion formula
reviewed by: Som Prakash Goyal
MaRDI profile type: Publication
cites work: Q5595738
cites work: Q5339818
cites work: On the Coefficients of Power Series Having Exponential Singularities
cites work: The Asymptotic Expansion of the Generalized Bessel Function
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full work available at URL: https://doi.org/10.1007/bf02366584
OpenAlex ID: W2058155511
description: scientific article; zbMATH DE number 1051134