Results 51 to 60 of about 582,984 (315)
Acta Physica Sinica, 2013 We propose an operator Hermite polynomial method, namely, we replace the arguments of the special function by quantum mechanical operators, and in this way we derive a binomial theorem involving Hermite polynomials and a negative-binomial theorem involving Laguerre polynomials.
null Fan Hong-Yi +3 more
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A curious polynomial interpolation of Carlitz-Riordan's $q$-ballot numbers [PDF]
, 2013 We study a polynomial sequence $C_n(x|q)$ defined as a solution of a $q$-difference equation. This sequence, evaluated at $q$-integers, interpolates Carlitz-Riordan's $q$-ballot numbers.
Chapoton, Frédéric, Zeng, Jiang
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Polynomial Quotient Rings and Kronecker Substitution for Deriving Combinatorial Identities [PDF]
Social Science Research NetworkWe introduce a new approach for generating combinatorial identities and formulas by the application of Kronecker substitution to polynomial expansions within quotient rings.
Joseph M. Shunia
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Polynomials of binomial type and Lucas’ Theorem [PDF]
Proceedings of the American Mathematical Society, 2015 At the intersection of number theory, commutative algebra and combinatorics. The new version has additional references.
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Forum of Mathematics, Sigma, 2023 Remixed Eulerian numbers are a polynomial q-deformation of Postnikov’s mixed Eulerian numbers. They arose naturally in previous work by the authors concerning the permutahedral variety and subsume well-known families of polynomials such as q-binomial ...
Philippe Nadeau, Vasu Tewari
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The Mixing Time for a Random Walk on the Symmetric Group Generated by Random Involutions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The involution walk is a random walk on the symmetric group generated by involutions with a number of 2-cycles sampled from the binomial distribution with parameter p.
Megan Bernstein
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Vieta's triangular array and a related family of polynomials
International Journal of Mathematics and Mathematical Sciences, 1991 If n≥1, let the nth row of an infinite triangular array consist of entries B(n,j)=nn−j(jn−j), where 0≤j≤[12n].
Neville Robbins
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Edge detection and mathematic fitting for corneal surface with Matlab software
International Journal of Ophthalmology, 2017 AIM: To select the optimal edge detection methods to identify the corneal surface, and compare three fitting curve equations with Matlab software. METHODS: Fifteen subjects were recruited.
Yue Di, Mei-Yan Li, Tong Qiao, Na Lu
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One Parameter Polynomial Exponential Distribution with Binomial Mixture
Revstat Statistical JournalA further generalized version of one parameter polynomial exponential distribution with binomial probability mass as a mixture called a Binomial Mixture One Parameter Polynomial Exponential Distribution (BMOPPE) is proposed in the article.
Molay Kumar Ruidas +4 more
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Noncommutative binomial theorem, shuffle type polynomials and Bell polynomials
, 2023 Some typos have been ...
Jia, Huan, Zhang, Yinhuo
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