generating function
Generating function for q-Eulerian polynomials and their decomposition and applications
... a generating function for q-Eulerian polynomials and numbers attached to any character χ of the finite cyclic group ...the generating element of the finite cyclic group G and the generating ...
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Highly excited strings I: Generating function
... the generating function for generic string amplitudes in generic toroidal compactifications associated to arbitrary vertex operator insertions and at arbitrary string loop order; this is where the majority ...
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A note on extraction of orthogonal polynomials from generating function for reciprocal of odd number
... from generating function from recipro- cal of odd numbers, in this note we identify the weight functions and the intervals of orthogonality of these sequences of ...
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THE GENERATING FUNCTION OF THE CATALAN NUMBERS AND LOWER TRIANGULAR INTEGER MATRICES
... Abstract. In the paper, by the Fa` a di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients of two families of nonlinear ordinary ...
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Bingmann Lovejoy Osburn’s generating function in the overpartitions
... the generating function for ...The generating function for spt(n), and the generating function for M s (m, n) are shown with a result in terms ...
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On the exponential generating function for non-backtracking walks
... A natural task across all these fields is to count the number of distinct non- backtracking walks of a given length between pairs of nodes, and to form a compact expression for the associated generating ...
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A New Class Of Life Time Distribution Based On Moment Generating Function Ordering With Hypothesis Testing
... A New Class of Life time Distribution Based on Moment Generating Function Ordering with Hypothesis Testing.. Faheem A.[r] ...
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Generating Function for M(m, n)
... some generating functions related to the crank and show the coefficient of x is the algebraic relations in terms of various powers of z, the exponent of z represent the crank of partitions of n (for all n 1 ...
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Study of a Generating Function Involving Generalised Lauricella Function
... [1]M. A. Chaudhry, S. M. Zubair, Generalized incomplete gamma functions withapplications,J. Comput. Appl. Math. 55 (1994), 99–124. [2] M. A. Chaudhry, A. Qadir, M. Rafique, S. M. Zubair, Extension of Euler’s ...
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Extension of Ostrowki type inequality via moment generating function
... Abstract. In this paper, generalizations of weighted Ostrowski inequality are derived by using moment generating functions in bounded variation, L ∞ and L p spaces. Applications to compo[r] ...
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Extraction of orthogonal polynomials from generating function for reciprocal of odd numbers
... The numerator and denominator sequences of polynomials of both even and odd order convergents of a C-fraction expansion corresponding to a power series expansions are naturally orthogona[r] ...
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On Certain Generalized Families of Unified Elliptic- Type Integrals Pertaining to Euler Integrals, Generating Function and Multivariable A-Function
... Elliptic-type integrals have their importance and potential in certain problems in radiation physics and nuclear technology. A number of earlier works on the subject contains several interesting unifications and ...
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A Study on Single Server Retrial Queue with Steady State Partial Generating Function
... The control policy to access from this pool to the server is governed y an exponential law with linear intensity , when the pool size n . The service times are general with probability distribution function B(x) ...
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Goldstein_2_6_16_31.pdf
... satisfies the symplectic condition for any value of the parameter α. Find a generating function for the transformation. What is the physical significance of the transformation for α = 0? For α = π/2? Does ...
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Solving a Joint Availability-Redundancy Optimization Model with Multi-State Components with Meta-Heuristic
... Redundancy allocation problem (RAP) is one of the most important and applicable problems in reliability area. This problem aims to find the optimal configuration of system components in order to optimize system ...
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A Class of Lindley and Weibull Distributions
... In this paper, we introduce a class of Lindley and Weibull distributions (LW) that are useful for modeling lifetime data with a comprehensive mathematical treatment. The new class of generated distributions includes some ...
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Rationality, Optimism and Guarantees in General Reinforcement Learning
... decision function and by describing the hypothesis-generating function based on a criterion for excluding environments from an initial ...hypothesis- generating function, for an ...
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A New Generalization of the Fréchet Distribution: Properties and Application
... A new generalization of the Fréchet distribution is introduced and studied. Its structural proper- ties including the quantile function, random number generation, moments, moment generating function ...
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Salt Tectonism In The Carolina Trough
... The Poincaré series of a local ring is the generating function of the Betti numbers for the residue field. The question of when this series represents a rational function is a classical problem in ...
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Counting occurrences of 132 in an even permutation
... 2. Definitions and preliminary results. Recall the definitions (kernel permutation, kernel cell decomposition, feasible cells, shapes, kernel shapes, and cells) and the nota- tions (s the size of the kernel, c the ...
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