Some generalizations of the Hadamard expansion for the modified Bessel function

Applied Mathematics Letters

Volumn 17, Issue 6, 2004, Pages 591-596

  Yang, S ^a   Srivastava, H M ^b  

^a Canadian College for Chinese Studies   (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Bilateral expansions; Hadamard expansion; Hypergeometric functions; Incomplete Gamma functions; Kamp de F riet functions; Modified Bessel function

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SET THEORY; THEOREM PROVING;

BILATERAL EXPANSIONS; HADAMARD EXPANSION; HYPERGEOMETRIC FUNCTIONS; INCOMPLETE GAMMA FUNCTIONS; KAMPE DE FERIET FUNCTIONS;

BESSEL FUNCTIONS;

EID: 3242687003     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2003.01.014     Document Type: Article

References (6)

1. E.T. Whittaker and G.N. Watson, A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions, Fourth Edition, Cambridge University Press, Cambridge, (1927).
2. H.M. Srivastava and H.L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, (1984).
3. G.N. Watson, A Treatise on the Theory of Bessel Functions, Second Edition, Cambridge University Press, Cambridge, (1944).
4. J. Hadamard, Sur l'expression asymptotique de la fonction de Bessel, Bull. Soc. Math. France 36, 77-85, (1908).
5. R.N. Kalia and H.M. Srivastava, Fractional calculus and its applications involving functions of several variables, Appl. Math. Lett. 12 (5), 19-23, (1999).
6. H.M. Srivastava, Some applications of fractional calculus involving the Gamma and related functions, In Recent Advances in Fractional Calculus, (Edited by R.N. Kalia), pp. 179-202, Global Publishing, Sauk Rapids, MN, (1993).