Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variables

Special function generalizing Mittag-Leffler-type function for two variables is considered. Integral representations for this function in different variation range of arguments for a certain value of parameters is obtained. Asymptotic formulas and asymptotic properties of this function for large arg...

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Main Author: Nikolay S Yashagin
Format: Article
Language:English
Published: Samara State Technical University 2010-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/21074/17332
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author Nikolay S Yashagin
author_facet Nikolay S Yashagin
author_sort Nikolay S Yashagin
collection DOAJ
description Special function generalizing Mittag-Leffler-type function for two variables is considered. Integral representations for this function in different variation range of arguments for a certain value of parameters is obtained. Asymptotic formulas and asymptotic properties of this function for large arguments is established. Theorems for these formulas and these properties are provided.
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spelling doaj.art-3c513336427840aab99453b9a4c2d0982022-12-22T00:08:25ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-06-0114222923618491Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variablesNikolay S Yashagin0Samara State Technical UniversitySpecial function generalizing Mittag-Leffler-type function for two variables is considered. Integral representations for this function in different variation range of arguments for a certain value of parameters is obtained. Asymptotic formulas and asymptotic properties of this function for large arguments is established. Theorems for these formulas and these properties are provided.https://journals.eco-vector.com/1991-8615/article/viewFile/21074/17332special functionsgeneralizations mittag-leffler-type function for two variablesintegral representationsasymptotic expansion formulas
spellingShingle Nikolay S Yashagin
Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variables
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
special functions
generalizations mittag-leffler-type function for two variables
integral representations
asymptotic expansion formulas
title Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variables
title_full Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variables
title_fullStr Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variables
title_full_unstemmed Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variables
title_short Integral representations and asymptotic expansion formulas of Mittag-Leffler-type function of two variables
title_sort integral representations and asymptotic expansion formulas of mittag leffler type function of two variables
topic special functions
generalizations mittag-leffler-type function for two variables
integral representations
asymptotic expansion formulas
url https://journals.eco-vector.com/1991-8615/article/viewFile/21074/17332
work_keys_str_mv AT nikolaysyashagin integralrepresentationsandasymptoticexpansionformulasofmittaglefflertypefunctionoftwovariables