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演講公告
  • 標題:A Unified Approach to Generalized Stirling Numbers and Generalized Stirling Functions
  • 公告日期:2017-06-23

Speaker: Prof. Tian-Xiao He
Beling Professor of Mathematics, Illinois Wesleyan University

Title: A Unified Approach to Generalized Stirling Numbers and Generalized Stirling Functions

Time: 16:10–17:00, Monday, May 15, 2017

Venue: Room 070221, 2F, Zhixi Building (志希樓 2 樓 e 化教室)

Refreshment: Refreshments will be served in Faculty Lounge 30 minutes before the talk.

Abstract: Here we present a unified approach to Stirling numbers and their generalizations as well as generalized Stirling functions by using generalized factorial functions, k-Gamma functions, and generalized divided difference. Previous well-known extensions of Stirling numbers due to Riordan, Carlitz, Howard, Charalambides- Koutras, Gould-Hopper, Hsu-Shiue, Tsylova Todorov, Ahuja- Enneking, and Stirling functions introduced by Butzer and Hauss, Butzer, Kilbas, and Trujilloet and others are included as particular cases of our generalization. Some basic properties related to our general pattern such as their recursive relations and generating functions are discussed. Three algorithms for calculating the Stirling numbers based on our generalization are also given, which include a comprehensive algorithm using the characterization of Riordan arrays.

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  • 張貼人:guavawei
  • 最後修改時間:2017-06-23 AM 11:21

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