The Krätzel function and evaluation of integrals

DOI10.1016/j.camwa.2009.08.017zbMath1189.33037OpenAlexW2009551012MaRDI QIDQ980174

Megumi Saigo, Luis Rodríguez-Germá, Juan J. Trujillo, Ram Kishore Saxena, Anatoliy Aleksandrovich Kilbas

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.08.017

zbMATH Keywords

Bessel functionsasymptotic estimates\(H\)-functionMeijer \(G\)-functionevaluation of integralscosine and sine functionsKrätzel function

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Exponential and trigonometric functions (33B10)

Related Items (6)

Fractional integral operators characterized by some new hypergeometric summation formulas ⋮ Analytic forms of thermonuclear functions ⋮ On the characteristic functions for extreme value distributions ⋮ Turán type inequalities for Krätzel functions ⋮ New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function ⋮ Treatise on generalized Krätzel function

Cites Work

• Bessel-type integral transforms on \({\mathcal L}_{\nu,r}\)-spaces
• Numerical Methods for Special Functions
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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