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• W2022182642 endingPage "48" @default.
• W2022182642 startingPage "16" @default.
• W2022182642 abstract "The aim of this paper is to study the binomial coefficients ( n x ), the factorial polynomials [x]n and [x]n, the Stirling numbers of first and second kind, namely s(n,k) and S(n,k), in the case that n ∈ ℕ is replaced by real α ∈ ℝ. In the course of the paper, the Vandermonde convolution formula is presented in an infinite series frame, the binomial coefficient function ( a x ), α ∈ ℝ, is sampled in terms of the binomial coefficients ( k x ) for k ∈ ℕo, Bell numbers of fractional orders are introduced. Emphasis is placed on the fractional order Stirling numbers s(α,k) and S(α,k), first studied here. Some applications of the S(α,k) are given." @default.
• W2022182642 created "2016-06-24" @default.
• W2022182642 creator A5026138361 @default.
• W2022182642 creator A5057575988 @default.
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• W2022182642 date "1989-08-01" @default.
• W2022182642 modified "2023-09-25" @default.
• W2022182642 title "Factorial functions and stirling numbers of fractional orders" @default.
• W2022182642 cites W1506013563 @default.
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• W2022182642 doi "https://doi.org/10.1007/bf03322642" @default.
• W2022182642 hasPublicationYear "1989" @default.
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