Derivatives and integrals with respect to the order of the Struve functions Hv(x) and Lv(x)

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Abstract

Derivatives and integrals with respect to the order of the Struve functions Hv(x) and the modified Struve functions Lv(x) are considered and expressed in terms of finite and infinite integrals. Order derivatives with the half of an odd integer order are presented in a closed form, while for the zero and one orders, the corresponding integrals are evaluated numerically. The integrals with respect to the order of the Struve functions are related to the associated Volterra function v(x, - 1 2). A short table of this function is presented.

Original languageEnglish
Pages (from-to)17-36
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Volume137
Issue number1
DOIs
StatePublished - 1 Jan 1989
Externally publishedYes

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