• East Asian mathematical journal
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• 제16권1호
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• pp.1-7
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• 2000

• Kyungpook Mathematical Journal
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• 제16권2호
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• pp.219-223
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• 1976

• Kyungpook Mathematical Journal
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• 제18권2호
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• pp.217-221
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• 1978

In this paper we prove three summation formulae for hypergeometric series $_2F_1({\frac{1}{2}})$.

• Kyungpook Mathematical Journal
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• 제25권2호
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• pp.97-104
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• 1985

• Kyungpook Mathematical Journal
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• 제12권2호
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• pp.267-271
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• 1972

• 대한수학회논문집
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• 제20권1호
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• pp.169-178
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• 2005

Five results closely related to the well-known Preece's identity obtained earlier by Choi and Rathie will be derived here by using some known hypergeometric identities. In addition to this, the identities obtained earlier by Choi and Rathie have also been written in a compact form.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권3호
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• pp.207-218
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• 2014

The principal object of this paper is to study a class of matrix polynomials associated with Humbert polynomials. These polynomials generalize the well known class of Gegenbauer, Legendre, Pincherl, Horadam, Horadam-Pethe and Kinney polynomials. We shall give some basic relations involving the Humbert matrix polynomials and then take up several generating functions, hypergeometric representations and expansions in series of matrix polynomials.

• 대한수학회논문집
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• 제36권1호
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• pp.63-101
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• 2021

In this research paper, an attempt has been made to provide an interesting extension of the well-known and useful Kummer's second theorem. Several applications have also been given.

• 대한수학회논문집
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• 제36권2호
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• pp.299-312
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• 2021

The main aim of this paper is to introduce and study the generalized Laguerre polynomials and prove that these polynomials are characterized by the generalized hypergeometric function. Also we investigate some properties and formulas for these polynomials such as explicit representations, generating functions, recurrence relations, differential equation, Rodrigues formula, and orthogonality.

• 충청수학회지
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• 제18권1호
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• pp.95-100
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• 2005

In this paper, we consider the finite form of the continued fraction found in the unorganized material, Entry 9 [2], and give the sum of n terms. We give the $n^{th}$ convergent series in two ways-one by simple expansion and the other by using partition theory.