research product . 2017

New family of Whitney numbers

El-Desouky B.S.; Cakić Nenad P.; Shiha F.A.;
Open Access English
  • Published: 01 Jan 2017
  • Publisher: Filomat
  • Country: Serbia
Abstract
In this paper we give a new family of numbers, called ¯α-Whitney numbers, which gives generalization of many types of Whitney numbers and Stirling numbers. Some basic properties of these numbers such as recurrence relations, explicit formulas and generating functions are given. Finally many interesting special cases are derived.
Subjects
arXiv: Mathematics::Metric Geometry
free text keywords: ¯α-Whitney numbers, r-Whitney numbers, Stirling numbers, Jacobi-Stirling numbers, Legendre-Stirling numbers, symmetric functions
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