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Some theorems on Stirling-type pairs

Published online by Cambridge University Press:  20 January 2009

Leetsch C. Hsu
Leetsch C. Hsu
Affiliation:
Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
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Abstract

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It is shown that an extended Schlömilch formula for Stirling-type pairs of numbers and the inversion formula of Lagrange are implied by each other. Also proved are some congruence relations modulo a prime number p(>2) associated with generalized Stirling numbers. The third result is concerned with the asymptotic expansions of Stirling-type pairs involving large parameters.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 3 , October 1993 , pp. 525 - 535
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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