• 호남수학학술지
• /
• 제18권1호
• /
• pp.33-42
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• 1996

• 호남수학학술지
• /
• 제6권1호
• /
• pp.59-83
• /
• 1984

• 대한수학회지
• /
• 제20권2호
• /
• pp.201-207
• /
• 1983

• 대한수학회지
• /
• 제31권1호
• /
• pp.139-148
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• 1994

• 한국수학교육학회지시리즈A:수학교육
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• 제25권3호
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• pp.101-106
• /
• 1987

• 호남수학학술지
• /
• 제8권1호
• /
• pp.95-114
• /
• 1986

• 한국수학교육학회지시리즈A:수학교육
• /
• 제6권1호
• /
• pp.20-35
• /
• 1967

• 호남수학학술지
• /
• 제38권1호
• /
• pp.17-23
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• 2016

This paper deals with the study of newly defined special function known as k-Bessel's function due to Gehlot [2]. Certain integral representations of k-Bessel's function are investigated. Known integrals of classical Bessel's function are seen to follow as special cases of our main results.

• 대한수학회논문집
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• 제32권2호
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• pp.321-332
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• 2017

In this paper, we generalize the extended Appell's and Lauricella's hypergeometric functions which have recently been introduced by Liu [9] and Khan [7]. Also, we aim at establishing some (presumbly) new integral representations and transforms for the extended generalized Appell's and Lauricella's hypergeometric functions.

• 대한수학회지
• /
• 제54권3호
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• pp.749-762
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• 2017

The surface singular braid monoid corresponds to marked graph diagrams of knotted surfaces in braid form. In a quest to resolve linearity problem for this monoid, we will show that if it is defined on at least two or at least three strands, then its two or respectively three dimensional representations are not faithful. We will also derive new presentations for the surface singular braid monoid, one with reduced the number of defining relations, and the other with reduced the number of its singular generators. We include surface singular braid formulations of all knotted surfaces in Yoshikawa's table.