A note on two-variable Lommel matrix functions

DOI10.1142/S1793557118500419zbMath1391.33011MaRDI QIDQ4565144

Ayman Shehata

Publication date: 8 June 2018

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

matrix recurrence relationsBessel matrix functionsLommel matrix differential equationsLommel matrix functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Explicit solutions, first integrals of ordinary differential equations (34A05) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

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Cites Work

• A new extension of Bessel matrix functions
• On the hypergeometric matrix function
• Asymptotics of the modified Bessel and the incomplete gamma matrix functions
• Closed form general solution of the hypergeometric matrix differential equation
• Some properties of gamma and beta matrix functions
• On the Computation of Lommel's Functions of Two Variables
• On Lommel and Bessel Polynomials
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