TY - JOUR

T1 - Some Formulas for Horn's Hypergeometric Function GB of Three Variables

AU - Shehata, Ayman

AU - Moustafa, Shimaa I.

AU - Younis, Jihad

AU - Aydi, Hassen

N1 - Publisher Copyright:
© 2022 Ayman Shehata et al.

PY - 2022

Y1 - 2022

N2 - Agarwal et al. (2021) established the extension of several fundamental contiguous relations for GB. Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function GB of three variables. Some well-known particular cases have additionally been given.

AB - Agarwal et al. (2021) established the extension of several fundamental contiguous relations for GB. Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function GB of three variables. Some well-known particular cases have additionally been given.

UR - http://www.scopus.com/inward/record.url?scp=85138892817&partnerID=8YFLogxK

U2 - 10.1155/2022/6565627

DO - 10.1155/2022/6565627

M3 - Article

AN - SCOPUS:85138892817

VL - 2022

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

SN - 1687-9120

M1 - 6565627

ER -