IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS
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초록
By using generating functions and p-adic integral methods, we study, survey, and investigate various properties of the special numbers and polynomials including the Bernoulli numbers and polynomials, the Euler numbers and polynomials, the Changhee numbers and polynomials, the Daehee numbers and polynomials, the Bernoulli numbers and polynomials of the second kind, the Stirling numbers, and the Catalan numbers. We define Apostol-type Daehee numbers and polynomials of higher order. We derive some properties, relations and identities on these numbers and polynomials. Finally, we give some applications of the p-adic Volkenborn integral including the special numbers and polynomials. We give some remarks and observations associated with the Bernoulli numbers, the Euler numbers, the Daehee numbers, and the Changhee numbers.
Abstract
By using generating functions and p-adic integral methods, we study, survey, and investigate various properties of the special numbers and polynomials including the Bernoulli numbers and polynomials, the Euler numbers and polynomials, the Changhee numbers and polynomials, the Daehee numbers and polynomials, the Bernoulli numbers and polynomials of the second kind, the Stirling numbers, and the Catalan numbers. We define Apostol-type Daehee numbers and polynomials of higher order. We derive some properties, relations and identities on these numbers and polynomials. Finally, we give some applications of the p-adic Volkenborn integral including the special numbers and polynomials. We give some remarks and observations associated with the Bernoulli numbers, the Euler numbers, the Daehee numbers, and the Changhee numbers.
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