SONINE-GEGENBAUER-TYPE INTEGRALS

[摘要] Representations for complete and incomplete Sonine-Gegenbauer-type integrals are given in terms of generalized hypergeometric functions in two and three variables and in terms of Neumann-type series. Certain interesting reductions of these integrals are also given. In addition, an application to a problem in diffraction theory is provided.

[发布日期] 1994-11-30

[关键词] INTEGRALS OF BESSEL FUNCTIONS;SONINE-GEGENBAUER-TYPE INTEGRALS;HYPERGEOMETRIC FUNCTIONS;MULTIPLE HYPERGEOMETRIC SERIES;NEUMANN-TYPE SERIES;DIFFRACTION FROM A WEDGE