Results 141 to 150 of about 94,783 (262)
A Generalization of the Digital Binomial Theorem
We prove a generalization of the digital binomial theorem by constructing a one-parameter subgroup of generalized Sierpinski matrices. In addition, we derive new formulas for the coefficients of Prouhet-Thue-Morse polynomials and describe group relations satisfied by generating matrices defined in terms of these Sierpinski matrices.
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Verification of Binomial theorem and Chu-Vandermonde convolution by the finite difference method
Chuanan Wei, Dianxuan Gong
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Binomial theorems related to two-variable Hermite polynomials and its application in quantum optics
Fan Hong-Yi +3 more
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Fermat's Last and the Binomial Theorem
A factoring of the function (a+b-c)n to get a general solution for a,b,c in FLT. We use two cases: n even or odd and the Binomial theorem to solve,
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Analytical evaluation of the Uehling potential using binomial expansion theorems
E. Çopuroğlu, T. Mehmetoğlu
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Use of identity of A. Hurwitz for construction of a linear positive operator of approximation
By using a general algebraic identity of Adolf Hurwitz [1], which generalizes an important identity of Abel, we construct a new operator \(S_m^{(\beta_1,\ldots,\beta_m)}\) approximating the functions. A special case of this is the operator \(Q_m^\beta\)
Dimitrie D. Stancu
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