• Kyungpook Mathematical Journal
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• 제18권2호
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• pp.311-319
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• 1978

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].

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제28권4호
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• pp.343-353
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• 2021

In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials.

• Kyungpook Mathematical Journal
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• 제16권1호
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• pp.127-134
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• 1976

• Kyungpook Mathematical Journal
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• 제21권1호
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• pp.135-145
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• 1981

• Kyungpook Mathematical Journal
• /
• 제21권1호
• /
• pp.39-47
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• 1981

• 대한수학회논문집
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• 제8권1호
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• pp.55-66
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• 1993

• Kyungpook Mathematical Journal
• /
• 제12권1호
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• pp.129-135
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• 1972

• Kyungpook Mathematical Journal
• /
• 제26권1호
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• pp.57-62
• /
• 1986

• East Asian mathematical journal
• /
• 제12권2호
• /
• pp.183-190
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• 1996

• Kyungpook Mathematical Journal
• /
• 제18권2호
• /
• pp.207-209
• /
• 1978