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+
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The Lommel polynomials and related formulas
|
2024
|
Yu. A. Brychkov
|
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+
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Multivariate Rayleigh, Rice, and \ Nakagami distributions and their applications in communication theory
|
2024
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some series of special functions
|
2024
|
Yu. A. Brychkov
|
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+
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On Ramanujan Type Integrals
|
2024
|
Yu. A. Brychkov
|
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+
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On some integrals of Ramanujan type
|
2024
|
Yu. A. Brychkov
|
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+
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On Sums of Special Functions
|
2024
|
Yu. A. Brychkov
|
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+
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On some formulas for the confluent Horn functions <i>H</i> <sub>10</sub> <sup> ( <i>c</i> ) </sup> ( <i>a; c; w, z</i> ) and <i>H</i> <sub>11</sub> <sup> ( <i>c</i> ) </sup> ( <i>a, c, c′; d; w, z</i> )
|
2023
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some properties of the Neumann polynomials
|
2022
|
Yu. A. Brychkov
Paschalis C. Sofotasios
|
|
+
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On some formulas for the Horn function H<sub>7</sub>(a, b, b′; c; w, z)
|
2022
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some formulas for the Horn functions <i>H<sub>6</sub>(a, b, b′w, z)</i> and <i>H<sub>8</sub><sup>(c)</sup>(a, b;w, z)</i>
|
2021
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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Applications of Multiple Hypergeometric Functions in Communication Theory: A New Multiple-Wave Model with Diffuse Power
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2021
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some formulas for the Horn functions <i>H</i><sub>5</sub> <i>(a</i>, <i>b</i>; <i>c</i>;<i>w</i>, <i>z)</i> and <i>(a</i>; <i>c</i>;<i>w</i>, <i>z)</i>
|
2021
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some formulas for the Horn functions <i>H</i><sub>4</sub>(<i>a, b; c, c′;w, z</i>) and <i>H</i><sub>7</sub><sup>(<i>c</i>)</sup> (<i>a; c, c′;w, z</i>)
|
2021
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some formulas for the Horn functions <i>H</i><sub>3</sub> (<i>a, b; c; w, z</i>), (<i>a; c; w, z</i>) and Humbert function Φ<sub>3</sub>(<i>b; c; w, z</i>)
|
2020
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some formulas for the Horn function <i>H</i><sub>2</sub> (<i>a, ,b, ,c, ,c′; d; w, z</i>) and confluent Horn function (<i>a, b, c; d; w, z</i>)
|
2020
|
Yu. A. Brychkov
N. V. Savischenko
|
|
+
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On some formulas for the Horn functions <i>H</i><sub>1</sub>(<i>a,b,c;d;w,z</i>) and <i>H</i><sub>1</sub><sup>(<i>c</i>)</sup>(<i>a,b;d;w,z</i>)
|
2020
|
Yu. A. Brychkov
N. V. Savischenko
|
|
+
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On some formulas for the Horn functions <i>G</i><sub>2</sub> (<i>a, a′, b, b′</i>; <i>w, z</i>), <i>G</i><sub>3</sub> (<i>a, a′</i>; <i>w, z</i>) and Γ<sub>1</sub> (<i>a, b, b′</i>; <i>w, z</i>)
|
2020
|
Yu. A. Brychkov
N. V. Savischenko
|
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+
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On some formulas for the Horn functions <i>G</i><sub>1</sub> (<i>a</i>, <i>b</i>, <i>b</i>′;<i>w</i>, <i>z</i>) and Γ<sub>2</sub> (<i>b</i>, <i>b</i>′;<i>w</i>, <i>z</i>)
|
2020
|
Yu. A. Brychkov
N. V. Savischenko
|
|
+
|
Bell Polynomials in the Mathematica System and Asymptotic Solutions of Integral Equations
|
2019
|
O. I. Marichev
S. Yu. Slavyanov
Yu. A. Brychkov
|
|
+
|
Application of Hypergeometric Functions of Two Variables in Wireless Communication Theory
|
2019
|
Yu. A. Brychkov
N. V. Savischenko
|
|
+
|
Series Involving ψ(z) and ζ(z, s) Functions and Evaluation of Integrals
|
2019
|
Yu. A. Brychkov
N. V. Savischenko
|
|
+
|
Handbook of Mellin Transforms
|
2018
|
Yu. A. Brychkov
O. I. Marichev
N. V. Savischenko
|
|
+
|
Special Functions
|
2018
|
Yu. A. Brychkov
O. I. Marichev
N. V. Savischenko
|
|
+
|
On derivatives of hypergeometric functions and classical polynomials with respect to parameters
|
2018
|
Paschalis C. Sofotasios
Yu. A. Brychkov
|
|
+
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Some properties of the exponential polynomials
|
2018
|
Yu. A. Brychkov
|
|
+
|
Integrals and Series
|
2018
|
A. P. Prudnikov
Yu. A. Brychkov
O. I. Marichev
|
|
+
|
Formulas of General Form
|
2018
|
A. P. Prudnikov
Yu. A. Brychkov
O. I. Marichev
|
|
+
|
Special Functions
|
2018
|
A.P. Prudnikov
Yu. A. Brychkov
O.I. Marichev
|
|
+
|
On some formulas for the Appell function F4(a,b;c,c′;w,z)
|
2017
|
Yu. A. Brychkov
Nasser Saad
|
|
+
|
On new reduction formulas for the Humbert functions Ψ<sub>2</sub>, Φ<sub>2</sub>and Φ<sub>3</sub>
|
2017
|
Yu. A. Brychkov
Yong Sup Kim
Arjun K. Rathie
|
|
+
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Reduction formulas for the Appell and Humbert functions
|
2016
|
Yu. A. Brychkov
|
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+
|
Higher derivatives of the Bessel functions with respect to the order
|
2016
|
Yu. A. Brychkov
|
|
+
|
Some properties of the Owen<i>T</i>-function
|
2015
|
Yu. A. Brychkov
N. V. Savischenko
|
|
+
|
On some formulas for the Appell function<i>F</i><sub>3</sub>(<i>a</i>,<i>a</i>′,<i>b</i>,<i>b</i>′;<i>c</i>;<i>w</i>,<i>z</i>)
|
2015
|
Yu. A. Brychkov
Nasser Saad
|
|
+
PDF
Chat
|
On some formulas for the Appell function<i>F</i><sub>2</sub>(<i>a, b, b</i>′;<i>c, c</i>′;<i>w; z</i>)
|
2013
|
Yu. A. Brychkov
Nasser Saad
|
|
+
|
On some properties of the Nuttall function<i>Q</i><sub>μ, ν</sub>(<i>a, b</i>)
|
2013
|
Yu. A. Brychkov
|
|
+
|
Two series containing the Laguerre polynomials
|
2013
|
Yu. A. Brychkov
|
|
+
|
On higher derivatives of the Bessel and related functions
|
2012
|
Yu. A. Brychkov
|
|
+
|
On a generalization of the Guillera–Sondow double integrals
|
2012
|
Yu. A. Brychkov
|
|
+
|
Some formulas for the Appell function<i>F</i><sub>1</sub>(<i>a, b, b</i>′;<i>c; w, z</i>)
|
2011
|
Yu. A. Brychkov
Nasser Saad
|
|
+
|
On some properties of the generalized Bernoulli and Euler polynomials
|
2011
|
Yu. A. Brychkov
|
|
+
|
On some properties of the Marcum<i>Q</i>function
|
2011
|
Yu. A. Brychkov
|
|
+
|
On power series of products of special functions
|
2011
|
Yu. A. Brychkov
|
|
+
|
On some definite integrals and infinite sums containing products of special functions
|
2011
|
Yu. A. Brychkov
|
|
+
|
On multiple sums of special functions
|
2010
|
Yu. A. Brychkov
|
|
+
|
On the derivatives of the Legendre functions and with respect to μ and ν
|
2009
|
Yu. A. Brychkov
|
|
+
|
Power expansions of powers of trigonometric functions and series containing Bernoulli and Euler polynomials
|
2009
|
Yu. A. Brychkov
|
|
+
|
On some formulas for Weber<b>E</b><sub>ν</sub>(<i>z</i>) and Anger<b>J</b><sub>ν</sub>(<i>z</i>) functions
|
2006
|
Yu. A. Brychkov
|
|
+
|
On some new series of special functions
|
2006
|
Yu. A. Brychkov
|
|
+
|
On the derivatives of the Bessel and Struve functions with respect to the order
|
2005
|
Yu. A. Brychkov
K. O. Geddes
|
|
+
|
I
|
1995
|
Леонид Викторович Кузьмин
T. S. Fofanova
M. Sh. Tsalenko
Alexander B. Ivanov
Vladimir L. Popov
L. N. Shevrin
V. N. Grishin
М. М. Лаврентьев
P. S. Soltan
N. M. Nagornyĭ
|
|
+
|
M
|
1995
|
V. I. Pagurova
D. D. Sokolov
S. S. Marchenko
A. P. Ershov
A. I. Shtern
L. D. Kudryavtsev
M. M. Postnikov
А. И. Орлов
Yu. V. Nesterenko
В. А. Скворцов
|
|
+
|
C
|
1995
|
A. I. Shtern
Б. А. Ефимов
S. Yu. Maslov
V. A. Dushskiĭ
П. И. Лизоркин
Yu. A. Bakhturin
I. Kh. Sabitov
A. N. Parshin
A. V. Prokhorov
I. O. Sarmanov
|
|
+
|
K
|
1995
|
V. V. Shekhtman
M. I. Voĭtsekhovskiĭ
D. V. Anosov
A. S. Mishchenko
A N Rudakov
A. L. Onishchik
A. Ya. Kiruta
I. K. Daugavet
D. D. Sokolov
L. E. Evtushik
|
|
+
|
J
|
1995
|
Н. П. Корнейчук
В. П. Моторный
А. В. Ефимов
А. П. Солдатов
I. B. Vapnyarskiĭ
E. D. Solomentsev
Николай Христович Розов
D. A. Suprunenko
P. K. Suetin
V. Rumyantsev
|
|
+
|
L
|
1995
|
Henk Barendregt
Igor V. Dolgachev
G. Rozenberg
A. Salomaa
А. П. Солдатов
A. F. Leont’ev
V. F. Emel’yanov
Igor Egorov
Н. Х. Розов
V. Rumyantsev
|
|
+
|
P
|
1995
|
S. P. Strunkov
A. N. Parshin
V. G. Sprindzhuk
Igor V. Dolgachev
Yu. M. Gorchakov
A. V. Malyshev
Evguenii Andreevich Rakhmanov
A. F. Lavrik
Н. Х. Розов
E. D. Solomentsev
|
|
+
|
H
|
1995
|
V. N. Saliĭ
Ф. П. Васильев
S. V. Matveev
A. N. Parshin
V. D. Kukin
Alexander B. Ivanov
M. S. Nikulin
И. А. Виноградова
P. S. Soltan
Sh. A. Alimov
|
|
+
PDF
Chat
|
Evaluation of integrals and the mellin transform
|
1991
|
A. P. Prudnikov
Yu. A. Brychkov
O. I. Marichev
|
|
+
|
<i>Integrals and Series</i>
|
1988
|
A. P. Prudnikov
Yu. A. Brychkov
O. I. Marichev
Robert H. Romer
|
|
+
|
Some formulas of operational calculus for step functions generated by special functions
|
1987
|
Yu. A. Brychkov
A. P. Prudnikov
|
|
+
|
Some operational calculus formulas for step functions
|
1987
|
Yu. A. Brychkov
A. P. Prudnikov
|
|
+
|
Integral transforms of generalized functions
|
1986
|
Yu. A. Brychkov
A. P. Prudnikov
|
|
+
|
Factorization of integral transformations of convolution type
|
1985
|
Yu. A. Brychkov
Hans‐Jürgen Glaeske
O. I. Marichev
|
|
+
|
Integrals and Series of Elementary Functions.
|
1983
|
Y. L. L.
A. P. Prudnikov
Yu. A. Brychkov
O. I. Marichev
|
|
+
|
Theory of spaces with dominating mixed derivative
|
1982
|
Yu. A. Brychkov
|
|
+
|
Several new operational calculus formulas
|
1981
|
Yu. A. Brychkov
A. P. Prudnikov
|
|
+
PDF
Chat
|
Operational calculus
|
1981
|
Yu. A. Brychkov
A. P. Prudnikov
V. S. Shishov
|
|
+
|
Distributionen und ihre Anwendungen in der Physik
|
1976
|
Yu. A. Brychkov
|
|
+
|
Generalized functions which are analytic with respect to some of their variables
|
1975
|
Yu. A. Brychkov
|
|
+
|
Asymptotic expansions of generalized functions. III
|
1975
|
Yu. A. Brychkov
|
|
+
|
Asymptotic expansions of generalized functions. II
|
1973
|
Yu. A. Brychkov
|
|
+
|
Asymptotic expansions of generalized functions
|
1972
|
Yu. A. Brychkov
|
|
+
|
Asymptotic expansions of generalized functions. I
|
1970
|
Yu. A. Brychkov
|
|
+
|
Asymptotic behavior of Fourier transforms
|
1970
|
Yu. A. Brychkov
Yu. M. Shirokov
|
|
+
|
Some limit formulas for generalized functions
|
1967
|
Yu. A. Brychkov
Yu. M. Shirokov
|