New Laplace transforms of Kummer's confluent hypergeometric functions

DOI10.1016/j.mcm.2011.09.031zbMath1255.44002OpenAlexW1971717680MaRDI QIDQ1931026

Arjun K. Rathie, Yong Sup Kim, Djurdje Cvijović

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: http://vinar.vin.bg.ac.rs//bitstream/id/12926/4626.pdf

zbMATH Keywords

Laplace transformconfluent hypergeometric functionGauss's second summation theoremKummer's summation theoremBailey's summation theoremKummer's function of the first kind

Mathematics Subject Classification ID

Laplace transform (44A10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Some unified and generalized Kummer's first summation theorems with applications in Laplace transform technique ⋮ Unnamed Item ⋮ 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 ⋮ On a new class of Laplace-type integrals involving generalized hypergeometric functions

Cites Work

• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• Generalizations of Dixon's Theorem on the Sum of A 3 F 2
• Generating Functions for Bessel and Related Polynomials
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