Results 11 to 20 of about 493,121 (267)
Baryonic generating functions [PDF]
44 pages, 7 figures; fonts ...
Forcella, D +2 more
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Mersenne-Horadam identities using generating functions
The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
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Analytical properties of the Hurwitz–Lerch zeta function
In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem +3 more
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Generalized Probability Functions [PDF]
From the integration of nonsymmetrical hyperboles, a one‐parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function. Motivated by the mathematical curiosity, we show that these generalized functions are suitable to generalize some probability density functions (pdfs).
Alexandre Souto Martinez +2 more
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Generalized Kiesswetter's Functions
In 1966, Kiesswetter found an interesting example of continuous everywhere but differentiable nowhere functions using base-4 expansion of real numbers. In this paper we show how Kiesswetter’s function can be extended to general cases. We also provide an equivalent form for such functions via a recurrence relation.
Li, Delong, Miao, Jie
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COMPLEXITY OF SHORT GENERATING FUNCTIONS
We give complexity analysis for the class of short generating functions. Assuming #P $\not \subseteq$ FP/poly, we show that ...
DANNY NGUYEN, IGOR PAK
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Generating functions in Symplectic Geometry
In this work, we present a brief introduction to Symplectic Geometry relating its origin with the Physics. Then we present the formal definition of symplectic manifold and some important results, with this we consider a function AH;N defined in the ...
Josué Alonso Aguirre Enciso +1 more
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General recursive functions [PDF]
where the symbol on the right denotes the smallest y such that A (X, y) = 0, under the assumption that there is such a y for each g. Kleene showed that this definition of general recursive function is equivalent to Herbrand-G6del metamathematical definition.2 In this paper we shall be concerned with the mathematical (as opposed to metamathematical ...
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Generalized Analytic Functions [PDF]
algebra; the group r becomes the boundary of the disc, and all functions take their maximum modulus on r. For interior points r of the disc, there is a measure on r such that the value at r is given by an integral of the boundary values. This "Poisson integral" is studied in detail, and it is shown that one of these "generalized holomorphic" functionsf
Arens, Richard, Singer, I. M.
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Some generating functions of modified Bessel polynomials from the view point of Lie group
In this paper we have derived a class of bilateral generating relation for modified Bessel polynomials from the view point of Lie group. An application of our theorem is also pointed out.
Asit Kumar Chongdar
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