On Boole-type combinatorial numbers and polynomials
نویسندگان
چکیده
منابع مشابه
A Note on Boole Polynomials
Boole polynomials play an important role in the area of number theory, algebra and umbral calculus. In this paper, we investigate some properties of Boole polynomials and consider Witt-type formulas for the Boole numbers and polynomials. Finally, we derive some new identities of those poly-nomials from the Witt-type formulas which are related to Euler polynomials.
متن کاملA Note on Generalized q-Boole Polynomials
Let p be a prime number with p ≡ 1(mod 2). Throughout this paper, Zp,Qp and Cp will denote the ring of p-adic integers, the field of p-adic rational numbers and the completion of algebraic closure of Qp. The p-adic norm | · |p is normalized as |p|p = 1 p . Let q be an indeterminate in Cp such that |1− q|p < p −1 p−1 . The q-extension of number x be defined as [x]q = 1−qx 1−q . Note that limq→1[...
متن کاملToda Chain, Sheffer Class of Orthogonal Polynomials and Combinatorial Numbers
A classification of Hankel determinant solutions of the restricted Toda chain equations is presented through polynomial Ansatz for moments. Each solution corresponds to the Sheffer class orthogonal polynomials. In turn, these solutions are equivalent to solutions with separated variables in Toda chain. These solutions lead naturally to explicit Hankel determinants of some combinatorial numbers.
متن کاملOn Genocchi Numbers and Polynomials
Let p be a fixed odd prime number. Throughout this paper, Zp, Qp, C, and Cp will, respectively, denote the ring of p-adic rational integers, the field of p-adic rationalnumbers, the complex number field, and the completion of the algebraic closure of Qp. Let vp be the normalized exponential valuation of Cp with |p|p p−vp p 1/p. When one talks about q-extension, q is variously considered as an i...
متن کاملGenerating Functions for Special Polynomials and Numbers Including Apostol-type and Humbert-type Polynomials
The aim of this paper is to give generating functions and to prove various properties for some new families of special polynomials and numbers. Several interesting properties of such families and their connections with other polynomials and numbers of the Bernoulli, Euler, Apostol-Bernoulli, ApostolEuler, Genocchi and Fibonacci type are presented. Furthermore, the Fibonacci type polynomials of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2020
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil2002559s