A study of generalized summation theorems for the series 2F1 with an applications to Laplace transforms of convolution type integrals involving Kummer's functions 1F1

DOI10.2298/AADM171017002MzbMath1488.33021WikidataQ115058633 ScholiaQ115058633MaRDI QIDQ5155710

Arjun K. Rathie, Gradimir V. Milovanović, Rakesh Kumar Parmar

Publication date: 8 October 2021

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace transformGauss's second summation theoremKummer's summation theoremBailey's summation theoremKummer's confluent hypergeometric functiongeneralized summation theorem

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (8)

Generalized hypergeometric identities with extra parameters ⋮ A note on a further extension of Gauss’s second summation theorem with an application to the extension of two well-known combinatorial identities ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Certain Laplace transforms of convolution type integrals involving product of two special \(_{p}F_{p}\) functions ⋮ On behavior Laplace integral operators with generalized Bessel matrix polynomials and related functions ⋮ Unnamed Item ⋮ Generalizations of a formula due to Kummer with applications

Cites Work

• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• New Laplace transforms of Kummer's confluent hypergeometric functions
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• Generalizations of Dixon's Theorem on the Sum of A 3 F 2
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