Integral representations
Integral Representations of Catalan Numbers and Their Applications
... survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of ...
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Explicit expressions and integral representations for the Stirling numbers A probabilistic approach
... We show that the Stirling numbers of the first and second kind can be represented in terms of moments of appropriate random variables. This allows us to obtain, in a unified way, a variety of old and new explicit ...
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Integral representations of several (p,q)-Bernstein polynomials and their applications
... for integral representations of Bernstein polynomials in (p, q)-calculus, a definition of (p, q)- Bernstein polynomials introduced by Mursaleen et ...and integral representa- tions of (p, ...
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Integral Representations for the Price of Vanilla Put Options on a Basket of Two Dividend Paying Stocks
... the integral method based on the double Mellin transform to derive the integral representations for the price of European and American put options on a basket of two-divi- dend paying ...
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Integral Representations for Bivariate Complex Geometric Mean and Applications
... As consequences of the integral representations (2.9) and (2.10), the (complete) monotonicity, (logarithmic) convexity, product inequalities, and positivity of determinants concerning the cen- tral Delannoy ...
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Certain integral representations of Stieltjes constants γn
... integral representations for the Riemann zeta function ζ (s). Our method used here is sim- ilar to those in some earlier works, but our results seem a little simpler. Some relevant con- nections of some ...
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Irreducible representations of some finite groups and galois stability of integral representations
... the representations over fields K and some related representations over Dedekind rings S in K is interesting to be ...these representations, in this research, it is interesting to look at the ...
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Integral Representations of Semi-Inner Products in Function Spaces
... of integral representations of some given semi-inner products on function spaces of measurable functions; in other words, to look for solutions to Problem ...
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Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains
... However these are not the only integral representations that are of importance. Another one consists in looking for the solution of the Dirichlet problem in the form of a simple layer potential. This ...
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On some integral representations of groups and global irreducibility
... We are interested in several aspects of integral representations. First of them is a generalization of the concept of global irreducibility for arithmetic rings (maximal orders of number fields or local ...
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INTEGRAL REPRESENTATIONS FOR MULTIVARIATE LOGARITHMIC POLYNOMIALS
... We observe that these three integrals between (2.5) and (2.7) are respectively single, double, and triple and that the integrand in (2.5) is elementary but the integrands in (2.6) and (2.7) are not elementary. ...
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Regulator constants of integral representations, together with relative motives over Shimura varieties
... For any finite group G, i the rank of br0 G is equal to the number of conjugacy classes of non-cyclic subgroups of G, ii there are no non-zero characteristic zero Brauer relations suppor[r] ...
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Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions
... These multiple integrals can be denoted as generalized fractional differeitegrals [6], however this line of representation is superfluous to the necessities of the numerical (i.e. Euler [r] ...
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Continuum tensor network field states, path integral representations and spatial symmetries
... In what follows, we construct a field limit of both 1-d and 2-d tensor networks, show how tensor- contractions naturally pass over into path integral over virtual degrees of freedom, and then develop the fi eld ...
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Regularized Integral Representations of the Reciprocal Function
... Abstract: This paper establishes a real integral representation of the reciprocal Γ function in terms 1.. of a regularized hypersingular integral.[r] ...
9
Positive Definite Operator Valued Kernels and Integral Representations
... Some of the papers devoted to operator-valued moment problems are: [6-10], to quote only few of them. The operator-valued multidimensional complex moment problem is solved in [9] in the class of commuting mul- ...
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Integral representations of the large and little Schr\"oder numbers
... Recall from [9, Chapter XIII], [26, Chapter 1] and [27, Chapter IV] that an infinitely differentiable function f is said to be completely monotonic on an interval I if it satisfies 0 ≤ (−1) k f (k) (t) < ∞ on I for ...
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Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)
... generalized integral representation method (GIRM). The integral representation based on the primary space-differentiation operator discussed above is one of the generalized integral ...
12
Harmonic Numbers and Cubed Binominal Coefficients
... Specifically, we investigate integral representations and closed form representations for sums of harmonic numbers and cubed binomial coe ffi cients.. The works of 7 – 13 also investigate[r] ...
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Fixed point theorems for solutions of the stationary Schrödinger equation on cones
... Qiao, L, Ren, YD: Integral representations for the solutions of infinite order of the stationary Schrödinger equation in a cone. Qiao, L: Integral representations for harmonic functions o[r] ...
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