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Compactness of Special Functions of Bounded Higher Variation
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Special Issue Editorial “Special Functions and Polynomials”
Published 2022-07-01“…This Special Issue contains 14 articles from the MDPI journal <i>Symmetry</i> on the general subject area of “Special Functions and Polynomials”, written by scholars belonging to different countries of the world. …”
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Groups, Special Functions and Rigged Hilbert Spaces
Published 2019-07-01Subjects: Get full text
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Representation of some special functions on transcendence basis
Published 2020-06-01Subjects: Get full text
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Completely monotonic functions related to the special functions
Published 2018-12-01“… In this paper, we discuss the completely monotonic functions and their relation to some of the famous special functions such as (Gamma, Kumar, Parabolic cylinder, Gauss hypergeometric, MacDonald, Whittaker and Generalized Mittag-Leffler) function. …”
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Differences of basic and special functional capacity of athletes in rowing
Published 2010-12-01Subjects: Get full text
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Computable generalization of fractional kinetics equation with special functions
Published 2021-01-01“…In this article, we also see that the character of thermonuclear function is presented in terms of the incomplete ℵ-functions and many more special functions through some interesting corollaries. …”
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Special software for computing the special functions of wave catastrophes
Published 2015-01-01“…The method of ordinary differential equations in the context of calculating the special functions of wave catastrophes is considered. Complementary numerical methods and algorithms are described. …”
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Specialized functional diversity and interactions of the Na,K-ATPase
Published 2016-05-01“…Na,K-ATPase is a protein ubiquitously expressed in the plasma membrane of all animal cells and vitally essential for their functions. A specialized functional diversity of the Na,K-ATPase isozymes is provided by molecular heterogeneity, distinct subcellular localizations and functional interactions with molecular environment. …”
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Certain Finite Integrals Related to the Products of Special Functions
Published 2021-10-01“…The results of this theorem are unified in nature and provide a very large number of analogous results (new or known) involving simpler special functions and polynomials (of one or several variables) as special cases. …”
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The Integration of a Class of Special Functions with the Risch Algorithm
Published 2004“…We indicate how to extend the Risch algorithm to handle a class of special functions defined in terms of integrals. Most of the integration machinery for this class of functions is similar to the machinery in the algorithm which handles logarithms. …”
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Editorial for Special Issue “Fractional Calculus and Special Functions with Applications”
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Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications
Published 2021-09-01“…These convolution series are closely related to the general fractional integrals and derivatives with Sonine kernels and represent a new class of special functions of fractional calculus. The Mittag-Leffler functions as solutions to the fractional differential equations with the fractional derivatives of both Riemann-Liouville and Caputo types are particular cases of the convolution series generated by the Sonine kernel <inline-formula><math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>κ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><msup><mi>t</mi><mrow><mi>α</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>/</mo><mi mathvariant="sans-serif">Γ</mi><mrow><mo>(</mo><mi>α</mi><mo>)</mo></mrow><mo>,</mo><mspace width="4pt"></mspace><mn>0</mn><mo><</mo><mi>α</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>. …”
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Special Functions of Mathematical Physics: A Unified Lagrangian Formalism
Published 2020-03-01Subjects: Get full text
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Calculate Some Special Function For The Design of Cavity Linear Accelerator
Published 2017-08-01Get full text
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Higher plant calreticulins have acquired specialized functions in Arabidopsis.
Published 2010-06-01“…Furthermore, in planta expression, protein localization and mutant analyses revealed that the three Arabidopsis CRTs have acquired specialized functions. The AtCRT1a and CRT1b family members appear to be components of a general ER chaperone network. …”
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