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Recent Advances in Special Functions and Their Applications
Published 2023-12-01“…Due to their remarkable properties, a plethora of special functions have been crafted and harnessed across a diverse spectrum of fields spanning centuries [...]…”
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Redheffer-Type Bounds of Special Functions
Published 2023-01-01“…Special cases lead to several examples involving special functions, namely, Bessel, Struve, and Hurwitz functions, as well as several other trigonometric functions.…”
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On ranks of partitions and congruences of special functions
Published 2014“…This thesis focuses on the rank statistic of partition functions, congruences and relating identities of special functions such as Appell-Lerch sums and partition pairs. …”
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A Guide to Special Functions in Fractional Calculus
Published 2021-01-01Subjects: “…special functions…”
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The Saigo operator applied to some special functions
Published 2010-12-01“…In this article, Saigo operators are applied to the following special functions: Generalized hypergeometric function, generalization of Hermite's polynomials and Laguerre's polynomials. …”
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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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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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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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Unified Approach to Fractional Calculus Images of Special Functions—A Survey
Published 2020-12-01Subjects: Get full text
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Application of aggregated control functions for approximating C-Hilfer fractional differential equations
Published 2023-10-01Subjects: Get full text
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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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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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A Class of Symmetric Fractional Differential Operator Formed by Special Functions
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On the Volterra-Type Fractional Integro-Differential Equations Pertaining to Special Functions
Published 2020-07-01Get full text
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