Kyungpook Mathematical Journal
- 제18권2호
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- Pages.311-319
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- 1978
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- 1225-6951(pISSN)
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- 0454-8124(eISSN)
INTEGRALS INVOLVING SPHEROIDAL WAVE FUNCTION AND THEIR APPLICATIONS IN HEAT CONDUCTION
초록
This paper deals with the evaluation of two definite integrals involving spheroidal wave function, H-function of two variables, and the generalized hypergeometric function. Also, an expansion formula for the product of generalized hypergeometric function and the H-function of two variables has been obtained. Since the H-function of two variables, spheroidal wave functions, and the generalized hypergeometric function may be transformed into a number of higher transcendental functions and polynomials, the results obtained in this paper include some known results as their particular cases. As an application of such results, a problem of heat conduction in a non-homogenous bar has been solved by using the generalized Legendre transform [9].
키워드