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A NOTE ON CATALAN NUMBERS ASSOCIATED WITH p-ADIC INTEGRAL ON Zp

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초록

In this paper, we study Catalan numbers which can be repre- sented by the p-adic integral on Zp and we investigate some properties and formulae related to Catalan numbers and special numbers.

Abstract

In this paper, we study Catalan numbers which can be repre- sented by the p-adic integral on Zp and we investigate some properties and formulae related to Catalan numbers and special numbers.

참고문헌 (13)

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  6. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys, 23, pp.88~92 (2016)
  7. T. Kim, "Differential equations associated with λ-Changhee polynomials", J. Nonlinear Sci. Appl, 9, pp.3098~3111 (2016)
  8. A. I. Shtern, "STRONGLY TRANSLATION CONTINUOUS FUNCTIONALS ON THE SPACE LUC(G) FOR AN AMENABLE TOPOLOGICAL GROUP G", Advanced Studies in Contemporary Mathematics, 23(1), pp.5~11 (2013), 장전수학회
  9. J. Morgado, "Some remarks on an identity of Catalan concerning the Fibonacci numbers", Special issue in honor of Antonio Monteiro. Portugal. Math, 39(1-4), pp.341~348 (1980)
  10. A. Natucci, "Ricerche sistematiche intorno al "teorema di Catalan"", (Italian) Giorn. Mat. Battaglini, 5(2), pp.297~300 (1954)
  11. R. Rangarajan, "A pair of classical orthogonal polynomials connected to Catalan numbers", Advanced Studies in Contemporary Mathematics, 23(2), pp.321~336 (2013), 장전수학회
  12. A. Rotkiewicz, "Sur le probleme de Catalan", (French) Elem. Math, 15, pp.121~134 (1960)
  13. A. D. Sands, "On generalised Catalan numbers", Discrete Math, 21(2), pp.219~221 (1978)

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