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A NOTE ON DEGENERATE GAMMA FUNCTION AND DEGENERATE STIRLING NUMBER OF THE SECOND KIND
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Recently, degenerate gamma function was introduced in [5]. In this paper, we investigate some properties of the degenerate gamma function and give some functional equations for the degenerate gamma function. In addition, we derive some identities for the degenerate Stirling number of the second kind associated with degenerate gamma function.
Abstract
Recently, degenerate gamma function was introduced in [5]. In this paper, we investigate some properties of the degenerate gamma function and give some functional equations for the degenerate gamma function. In addition, we derive some identities for the degenerate Stirling number of the second kind associated with degenerate gamma function.
참고문헌 (8)
- E. Artin, "Athena Series: Selected Topics in Mathematics", pp.vii+39~ (1964), Holt, Rinehart and Winston
- 김택연, "Extended stirling polynomials of the second kind and extended Bell polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.365~376 (2017), 장전수학회[DOI]
- T . Kim, "A note on degenerate Stirling polynomials of the second kind, Paper No. 32", pp.21~ (2016), Adv. Difference Equ.
- 김태균, "λ-analogue of stirling numbers of the first kind", Advanced Studies in Contemporary Mathematics, 27(3), pp.423~429 (2017), 장전수학회[DOI]
- T. Kim, "Degenerate Laplace Transform and degenerate gamma function", Russ. J. Math. Phys., 24(2), pp.241~248 (2017)[DOI]
- G. Rahman, "INEQUALITIES INVOLVING EXTENDED k-GAMMA AND k-BETA FUNCTIONS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(1), pp.143~153 (2018), 장전수학회[DOI]
- P. Vassilev, "On an estimate from above for the remainder sum of certain series related to Euler's gamma function", Advanced Studies in Contemporary Mathematics, 24(1), pp.109~128 (2014), 장전수학회
- E. T. Whittaker, "A course of modern analysis. An introduction to the general theory of infinite pocesses and of analytic function: with an account of the principal transcendental function", pp.vi+608~ (1996), Cambridge University Press
관련 논문AI추천
A note on degenerate stirling polynomials of the second kind김택연장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호SOME EXPLICIT FORMULAS OF DEGENERATE STIRLING NUMBERS ASSOCIATED WITH THE DEGENERATE SPECIAL NUMBERS AND POLYNOMIALS김태균, D. V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호ON THE EXTENSION OF DEGENERATE STIRLING POLYNOMIALS OF THE SECOND KIND AND DEGENERATE BELL POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호A note on degenerate stirling numbers and their applications권혁인, 김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호Degenerate Cauchy numbers and polynomials of the second kind김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS김태균, H. I. Kwon, J.-J. SEO장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호
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