Search Results - "summation formulas for generalized hypergeometric functions"

Some infinite summation formulas involving generalized hypergeometric functions

Authors: Hari Mohan Srivastava Martha C. Daoust

Contributors: Hari Mohan Srivastava Martha C. Daoust

Source: Bulletin de la Classe des sciences 57(1):961-975

Access URL: https://www.persee.fr/doc/barb_0001-4141_1971_num_57_1_61986

On the Application of a Hypergeometric Identity to Generate Generalized Hypergeometric Reduction Formulas

Authors: Juan Luis González-Santander

Source: Axioms, Vol 14, Iss 11, p 847 (2025)

Subject Terms: gamma function, psi function, Bateman’s G function, beta function, incomplete beta function, summation formulas for generalized hypergeometric functions, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2075-1680/14/11/847; https://doaj.org/toc/2075-1680

Access URL: https://doaj.org/article/deca38407fae415b89c15f9ebca6d9bd

Certain summation formulas involving generalized hypergeometric functions.

Authors: H. M., Srivastava

Index Terms: Departmental Bulletin Paper., NA.

URL: http://id.nii.ac.jp/1062/00010373/
https://doi.org/10.14992/00010373
https://rikkyo.repo.nii.ac.jp/?action=repository_action_common_download&item_id=10407&item_no=1&attribute_id=18&file_no=1

Certain summation formulas involving generalized hypergeometric functions

Source: Certain summation formulas involving generalized hypergeometric functions. 21(2):25-34

Finite summation formulas involving generalized hypergeometric functions

Authors: Singh, O. V. Bhatt, R. C.

Subject Terms: Other hypergeometric functions and integrals in several variables, Appell, Horn and Lauricella functions

File Description: application/xml

Access URL: https://zbmath.org/997698

Some finite summation formulas involving generalized hypergeometric functions

Authors: Srivastava, H. M.

Subject Terms: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), summation formulas, Classical hypergeometric functions, \({}_2F_1\), generalized Appell functions of two variables

File Description: application/xml

Access URL: https://zbmath.org/3682141

A class of finite summation formulas involving generalized hypergeometric functions

Authors: Srivastava, H. M.

Subject Terms: summation formulas, Classical hypergeometric functions, \({}_2F_1\), Kampé de Fériet's double hypergeometric functions, Appell's double hypergeometric function \(F_ 2\)

File Description: application/xml

Access URL: https://zbmath.org/3925287

Certain summation formulas involving generalized hypergeometric functions

Authors: Srivastava, H. M.

Subject Terms: Classical hypergeometric functions, \({}_2F_1\)

File Description: application/xml

Access URL: https://zbmath.org/3389430

Certain summation formulas involving generalized hypergeometric functions

Authors: Srivastava, H. M. 23745

File Description: application/pdf

Relation: Commentarii mathematici Universitatis Sancti Pauli; 21; 25; 34; Rikkyo Daigaku sugaku zasshi; AA00610867; https://doi.org/10.14992/00010373; https://rikkyo.repo.nii.ac.jp/records/10407

Availability: https://rikkyo.repo.nii.ac.jp/record/10407/files/AA00610867_21-02_04.pdf
https://doi.org/10.14992/00010373
https://rikkyo.repo.nii.ac.jp/records/10407

On the Application of a Hypergeometric Identity to Generate Generalized Hypergeometric Reduction Formulas.

Authors: González-Santander, Juan Luis

Source: Axioms (2075-1680); Nov2025, Vol. 14 Issue 11, p847, 19p

Subject Terms: HYPERGEOMETRIC functions, MATHEMATICAL formulas, MATHEMATICAL functions, RECURSIVE functions, MATHEMATICAL proofs

Reviews & Products: MATHEMATICA (Computer software)

On Two Summation Formulas for the Generalized Hypergeometric Functions 3F2(1) and 4F3(1).

Authors: Atasha, Ahmed Ali Bellehaj, Hussein Saleh

Source: General Letters in Mathematics (GLM); 2025, Vol. 15 Issue 2, p42-48, 7p

Subject Terms: HYPERGEOMETRIC functions, BINOMIAL theorem, GAMMA functions, AUDIOBOOKS, GENERALIZATION, HYPERGEOMETRIC series

A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments.

Authors: Li, Yue-Wu Qi, Feng

Source: Axioms (2075-1680); May2024, Vol. 13 Issue 5, p317, 24p

Subject Terms: GAUSSIAN function, HYPERGEOMETRIC functions, POWER series, ARGUMENT, INTEGRAL representations

SOME RESULTS INVOLVING THE pRq(α, β; z) FUNCTION.

Authors: THAKKAR, YOGESH M. SHUKLA, AJAY K.

Source: Journal of the Indian Mathematical Society; Jul-Dec2023, Vol. 90 Issue 3/4, p329-342, 14p

Subject Terms: JACOBI polynomials, LEGENDRE'S functions, HERMITE polynomials, INTEGRAL functions, GAMMA functions

Two reduction formulas for the Srivastava-Daoust double hypergeometric function.

Authors: Qureshi, M. I. Paris, R. B. Malik, S. H. et al.

Source: Palestine Journal of Mathematics; 2023, Vol. 12 Issue 1, p181-186, 6p

Subject Terms: HYPERGEOMETRIC functions, HYPERGEOMETRIC series, ARGUMENT, SIGNS & symbols

ON SOME NEW GENERATING FUNCTIONS OF HYPERGEOMETRIC POLYNOMIALS.

Authors: Mohammad, Chaudhary Wali Ara, Jahan

Source: South East Asian Journal of Mathematics & Mathematical Sciences; 2022, Vol. 18 Issue 3, p67-86, 20p

Subject Terms: GENERATING functions, JACOBI polynomials, ORTHOGONAL polynomials, POLYNOMIALS, HYPERGEOMETRIC series, HYPERGEOMETRIC functions, INTEGRALS

On q-analogues of quadratic Euler sums.

Authors: Li, Zhonghua Xu, Ce

Source: Periodica Mathematica Hungarica; Sep2020, Vol. 81 Issue 1, p1-19, 19p

Some results on q-harmonic number sums.

Authors: Si, Xin

Source: Advances in Difference Equations; 1/18/2018, Vol. 2018 Issue 1, p1-N.PAG, 16p

Subject Terms: EULER equations, PARTIAL fractions, ALGEBRAIC functions, BINOMIAL coefficients, MATHEMATICAL combinations

Some evaluation of harmonic number sums.

Authors: Xu, Ce Zhang, Mingyu Zhu, Weixia

Source: Integral Transforms & Special Functions; Dec2016, Vol. 27 Issue 12, p937-955, 19p

Subject Terms: MATHEMATICAL notation, MATHEMATICAL series, PARTIAL fractions, BINOMIAL coefficients, ZETA functions, MATHEMATICAL decomposition

Séance du samedi 31 juillet 1971 / Zitting van zaterdag 31 juli 1971

Contributors: Académie Royale de Belgique

Source: Bulletin de la Classe des sciences 57(1):892-900

Access URL: https://www.persee.fr/doc/barb_0001-4141_1971_num_57_1_61975

Séance du samedi 9 octobre 1971 / Zitting van zaterdag 9 October 1971

Contributors: Académie Royale de Belgique

Source: Bulletin de la Classe des sciences 57(1):988-996

Access URL: https://www.persee.fr/doc/barb_0001-4141_1971_num_57_1_61989