Certain Properties of Mathieu-Type Series Associated with Hypergeometric Functions

Harshal S. Gharat; B. V. Nathwani; P. Agarwal

doi:10.5269/bspm.78468

Certain Properties of Mathieu-Type Series Associated with Hypergeometric Functions

Harshal S. Gharat
, B. V. Nathwani
, P. Agarwal

Amity University, Mumbai
SVKM's NMIMS
Saveetha Institute of Medical and Technical Sciences (Deemed to be University)
International College of Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The objective of current article is to investigate some properties of Mathieu-type series and with their alternating version as kernel Gauss hypergeometric function. Also we discussed some particular cases of the result obtained here.

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	43
Issue number	1
DOIs	https://doi.org/10.5269/bspm.78468
State	Published - 9 Feb 2025
Externally published	Yes

Keywords

Beta function
Cahen formula
Hypergeometric function
Integral representations
Mathieu type series

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10.5269/bspm.78468

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title = "Certain Properties of Mathieu-Type Series Associated with Hypergeometric Functions",

abstract = "The objective of current article is to investigate some properties of Mathieu-type series and with their alternating version as kernel Gauss hypergeometric function. Also we discussed some particular cases of the result obtained here.",

keywords = "Beta function, Cahen formula, Hypergeometric function, Integral representations, Mathieu type series",

author = "Gharat, \{Harshal S.\} and Nathwani, \{B. V.\} and P. Agarwal",

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AU - Gharat, Harshal S.

AU - Nathwani, B. V.

AU - Agarwal, P.

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Y1 - 2025/2/9

N2 - The objective of current article is to investigate some properties of Mathieu-type series and with their alternating version as kernel Gauss hypergeometric function. Also we discussed some particular cases of the result obtained here.

AB - The objective of current article is to investigate some properties of Mathieu-type series and with their alternating version as kernel Gauss hypergeometric function. Also we discussed some particular cases of the result obtained here.

KW - Beta function

KW - Cahen formula

KW - Hypergeometric function

KW - Integral representations

KW - Mathieu type series

UR - https://www.scopus.com/pages/publications/105046196931

U2 - 10.5269/bspm.78468

DO - 10.5269/bspm.78468

M3 - Article

AN - SCOPUS:105046196931

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JO - Boletim da Sociedade Paranaense de Matematica

JF - Boletim da Sociedade Paranaense de Matematica

IS - 1

ER -

Certain Properties of Mathieu-Type Series Associated with Hypergeometric Functions

Abstract

Keywords

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