Derivatives of Horn's hypergeometric functions G1, G2, Γ1, and Γ2 with respect to their parameters

Praveen Agarwal; Ayman Shehata; Shimaa I. Moustafa; Shilpi Jain

doi:10.1016/B978-0-32-390953-2.00027-X

Derivatives of Horn's hypergeometric functions G₁, G₂, Γ₁, and Γ₂ with respect to their parameters

Praveen Agarwal
, Ayman Shehata
, Shimaa I. Moustafa
, Shilpi Jain

Nonlinear Dynamic Research Centre (NDRC)

International College of Engineering
People's Friendship University of Russia
Assiut University
Qassim University
Poornima College of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We establish the nth-order derivatives of Horn hypergeometric functions G1, G2, Γ1, and Γ2 with respect to the parameters. We discuss applications to the calculation of recursion formulas and contiguous relations.

Original language	English
Title of host publication	Fractional Order Systems and Applications in Engineering
Publisher	Elsevier
Pages	353-374
Number of pages	22
ISBN (Electronic)	9780323909532
ISBN (Print)	9780323909549
DOIs	https://doi.org/10.1016/B978-0-32-390953-2.00027-X
State	Published - 1 Jan 2022

Keywords

Contiguous relations
Horn functions
Recursion formulas

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10.1016/B978-0-32-390953-2.00027-X

Cite this

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abstract = "We establish the nth-order derivatives of Horn hypergeometric functions G1, G2, Γ1, and Γ2 with respect to the parameters. We discuss applications to the calculation of recursion formulas and contiguous relations.",

keywords = "Contiguous relations, Horn functions, Recursion formulas",

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AU - Agarwal, Praveen

AU - Shehata, Ayman

AU - Moustafa, Shimaa I.

AU - Jain, Shilpi

PY - 2022/1/1

Y1 - 2022/1/1

N2 - We establish the nth-order derivatives of Horn hypergeometric functions G1, G2, Γ1, and Γ2 with respect to the parameters. We discuss applications to the calculation of recursion formulas and contiguous relations.

AB - We establish the nth-order derivatives of Horn hypergeometric functions G1, G2, Γ1, and Γ2 with respect to the parameters. We discuss applications to the calculation of recursion formulas and contiguous relations.

KW - Contiguous relations

KW - Horn functions

KW - Recursion formulas

UR - https://www.scopus.com/pages/publications/85150082898

U2 - 10.1016/B978-0-32-390953-2.00027-X

DO - 10.1016/B978-0-32-390953-2.00027-X

M3 - Chapter

AN - SCOPUS:85150082898

SN - 9780323909549

SP - 353

EP - 374

BT - Fractional Order Systems and Applications in Engineering

PB - Elsevier

ER -

Derivatives of Horn's hypergeometric functions G₁, G₂, Γ₁, and Γ₂ with respect to their parameters

Abstract

Keywords

Access to Document

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