Generating functions for finite sums involving higher powers of binomial coefficients: Analysis of hypergeometric functions including new families of polynomials and numbers
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.05.015
Abstract: The origin of this study is based on not only explicit formulas of finite sums involving higher powers of binomial coefficients, but also explicit evaluations of generating functions for this sums. It should be emphasized… read more here.
Keywords: powers binomial; binomial coefficients; sums involving; new families ... See more keywords
On finite sums of periodic functions
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DOI: 10.1515/gmj-2019-2076
Abstract: Abstract It is shown that any function acting from the real line ℝ {\mathbb{R}} into itself can be expressed as a pointwise limit of finite sums of periodic functions. At the same time, the real… read more here.
Keywords: periodic functions; sums periodic; finite sums; limit finite ... See more keywords