Sums of Binomial Variation

Anthony Sofo
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Anthony Sofo: Victoria University, School of Computer Science and Mathematics

Chapter Chapter 8 in Computational Techniques for the Summation of Series, 2003, pp 147-175 from Springer

Abstract: Abstract In this chapter the results of Chapters 6 and 7 will be generalized. By residue theory and induction the author proves that infinite generated sums may be represented in closed form which depend on k dominant zeros of an associated polynomial characteristic function. A connection between the infinite series and generalized hypergeometric functions will also be demonstrated.

Keywords: Characteristic Function; Closed Form; Hypergeometric Function; Computational Technique; Real Zero (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0057-5_8

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DOI: 10.1007/978-1-4615-0057-5_8

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