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by Kolosov Petro
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Abstract : In this paper we discuss a problem of generalization of binomial distributed triangle, that is sequence A287326 in OEIS. The main property of A287326 that it returns a perfect cube n as sum of n-th row terms over k, 0
Topics: Series Representation, Power function, monomial, Binomial Theorem, Multinomial theorem, Worpitzky...
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The main aim of this paper to establish the relations between forward, backward and central finite and divided differences (that is discrete analog ofthe derivative) and partial and ordinary high-order derivatives of polynomials. DOI : 10.6084/m9.figshare.4955384 , 10.17605/OSF.IO/DQNCJ ORCID: https://orcid.org/0000-0002-6544-8880 Personal Website: https://kolosovpetro.github.io/   Keywords : Finite difference, Derivative, Divided difference, Ordinary differential equation, Partial...
Topics: Mathematics, Finite difference, Derivative, Divided difference, Ordinary differential equation,...
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Calculating the value of C k ∈ { 1 , ∞ } class of smoothness real-valued function's derivative in point of R + in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and q -difference operator. ( P , q ) -power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using q -difference and p , q -power difference is shown. ARXIV : 1705.02516 DOI :...
Topics: Mathematics, Quantum calculus, Quantum algebra, Power quantum calculus, Quantum difference,...
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by Kolosov Petro
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Abstract : In this paper we discuss a problem of generalization of binomial distributed triangle, that is sequence A287326 in OEIS. The main property of A287326 that it returns a perfect cube n as sum of n-th row terms over k, 0
Topics: Series Representation, Power function, monomial, Binomial Theorem, Multinomial theorem, Worpitzky...
Community Texts
by Kolosov Petro
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Abstract : In this paper we discuss a problem of generalization of binomial distributed triangle, that is sequence A287326 in OEIS. The main property of A287326 that it returns a perfect cube n as sum of n-th row terms over k, 0
Topics: Series Representation, Power function, monomial, Binomial Theorem, Multinomial theorem, Worpitzky...
Community Texts
by Kolosov Petro
texts

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Abstract : In this paper we discuss a problem of generalization of binomial distributed triangle, that is sequence A287326 in OEIS. The main property of A287326 that it returns a perfect cube n as sum of n-th row terms over k, 0
Topics: Series Representation, Power function, monomial, Binomial Theorem, Multinomial theorem, Worpitzky...