• Kyungpook Mathematical Journal
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• v.18 no.2
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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].

• The Pure and Applied Mathematics
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• v.28 no.4
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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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• v.16 no.1
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• pp.127-134
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• 1976

• Kyungpook Mathematical Journal
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• v.21 no.1
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• pp.135-145
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• 1981

• Kyungpook Mathematical Journal
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• v.21 no.1
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• pp.39-47
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• 1981

• Communications of the Korean Mathematical Society
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• v.8 no.1
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• pp.55-66
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• 1993

• Kyungpook Mathematical Journal
• /
• v.12 no.1
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• pp.129-135
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• 1972

• Kyungpook Mathematical Journal
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• v.26 no.1
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• pp.57-62
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• 1986

• East Asian mathematical journal
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• v.12 no.2
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• pp.183-190
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• 1996

• Kyungpook Mathematical Journal
• /
• v.18 no.2
• /
• pp.207-209
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• 1978