Results 11 to 20 of about 3,569,062 (330)
MORE SPECIAL FUNCTIONS TRAPPED [PDF]
International Journal of Modern Physics C, 2013 We extend the technique of using the trapezoidal rule for efficient evaluation of the special functions of mathematical physics given by integral representations. This technique was recently used for Bessel functions, and here we treat incomplete gamma functions and the general confluent hypergeometric function.
Schwartz, Charles
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Groups, Special Functions and Rigged Hilbert Spaces [PDF]
Axioms, 2019 We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini +2 more
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Mathematics, 2021 The objective of this paper is to define one class of plane curves with arc-length parametrization. To accomplish this, we constructed a novel class of special polynomials and special functions.
Snježana Maksimović +1 more
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The Special Neutrosophic Functions [PDF]
International Journal of Neutrosophic Science, 2020 In this study, we introduce the notion of special neutrosophic functions as new kinds of neutrosophic function defined in a neutrosophic logic. As particular cases, we present the notions of neutrosophic Floor (greatest integer), neutrosophic Absolute Function and neutrosophic Signum Function. Moreover, we draw its neutrosophic graph representation and
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AIMS Mathematics, 2023 A new approach is used to investigate the analytical solutions of the mathematical fractional Casson fluid model that is described by the Constant Proportional Caputo fractional operator having non-local and singular kernel near an infinitely vertical ...
Aziz Ur Rehman +3 more
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Landen inequalities for special functions [PDF]
, 2013 In this paper our aim is to present some Landen inequalities for Gaussian hypergeometric functions, confluent hypergeometric functions, generalized Bessel functions and for general power series.
Baricz, Árpád
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Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Special functions and twisted $L$-series [PDF]
, 2016 We introduce a generalization of the Anderson-Thakur special function, and we prove a rationality result for several variable twisted $L$-series associated to shtuka ...
Anglès, Bruno +2 more
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ON A SPECIAL CLASS OF SCHWARTZ FUNCTIONS [PDF]
Advances in Mathematics: Scientific Journal, 2023 In this paper we study functions $ \omega(z) = c_1z+c_2z^2+c_3z^3+\cdots$ analytic in the open unit disk $\D$ and such that $|\omega'(z)|\le1$ for all $z\in\D$. For these functions we give estimates (sometimes sharp) for the following moduli: $|c_3-c_1c_2|$, $|c_1c_3-c_2^2|$, and $|c_4-c_2^2|$.
Obradović, Milutin, Tuneski, Nikola
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Topics in Special Functions III [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2007 In geometric function theory, conformally invariant extremal problems often have expressions in terms of special functions. Such problems occur, for instance, in the study of change of euclidean and noneuclidean distances under quasiconformal mappings. This fact has led to many new results on special functions.
Xiaohui Zhang +2 more
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