Results 51 to 60 of about 17,517,320 (360)
Generalized Trigonometric Functions [PDF]
is also that of all functions of the form (1 + x2)-2N-c+lQ(x) where Q is a polynomial of degree 4N 2 or lower, the conditions determining the above formula for any a and N are the same as those determining Harper's formula for (using "k" and "n" in the meaning given them in [1]) k = a + 2N -2, n = 2N.
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Generating function for generalized function of two variables [PDF]
In this paper we obtain a generating function for a generalized function of two variables. The result is very general in character and includes as particular cases some of the results recently given by Meijer [4], Carlitz [7] and Srivastava [5].
Sharma, B. L., Abiodun, R. F. A.
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Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients
In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers.
Emrah Polatlı
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Concrete Generic Functionals [PDF]
Generic design is not only pertinent to programs, but a fortiori to declarative formalisms as well, and the ensuing generalizations often benefit programming. In the considered framework, generality is obtained by (re)defining traditionally non-functional objects uniformly as functions.
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On the combinatorics of sparsification
Background We study the sparsification of dynamic programming based on folding algorithms of RNA structures. Sparsification is a method that improves significantly the computation of minimum free energy (mfe) RNA structures.
Huang Fenix WD, Reidys Christian M
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Avoiding maximal parabolic subgroups of S_k [PDF]
We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions.
Mansour, Toufik, Vainshtein, Alek
core +4 more sources
Some identities of bivariate Pell and bivariate Pell-Lucas polynomials
In this paper, we obtain some identities for the bivariate Pell polynomials and bivariate Pell-Lucas polynomials. We establish some sums and connection formulas involving them.
Yashwant Panwar
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A generating function approach to branching random walks [PDF]
It is well known that the behaviour of a branching process is completely described by the generating function of the offspring law and its fixed points.
D. Bertacchi, F. Zucca
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Generating-function method for fusion rules
This is the second of two articles devoted to an exposition of the generating-function method for computing fusion rules in affine Lie algebras. The present paper focuses on fusion rules, using the machinery developed for tensor products in the companion
Berenstein A. D. +19 more
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A Short Note on Integral Transformations and Conversion Formulas for Sequence Generating Functions
The purpose of this note is to provide an expository introduction to some more curious integral formulas and transformations involving generating functions.
Maxie D. Schmidt
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