The Experts below are selected from a list of 2193 Experts worldwide ranked by ideXlab platform
B C Giri - One of the best experts on this subject based on the ideXlab platform.
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single valued neutrosophic Hyperbolic Sine similarity measure based madm strategy
viXra, 2018Co-Authors: Kalyan Mondal, Surapati Pramanik, B C GiriAbstract:In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on Hyperbolic Sine function. The new similarity measures are namely, single valued neutrosophic Hyperbolic Sine similarity measure and weighted single valued neutrosophic Hyperbolic Sine similarity measure.
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Single Valued Neutrosophic Hyperbolic Sine Similarity Measure Based MADM Strategy
2018Co-Authors: Kalyan Mondal, Surapati Pramanik, B C GiriAbstract:In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on Hyperbolic Sine function
Qi Feng - One of the best experts on this subject based on the ideXlab platform.
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Maclaurin series expansions for powers of inverse (Hyperbolic) Sine, for powers of inverse (Hyperbolic) tangent, and for incomplete gamma functions, with applications to second kind Bell polynomials and generalized logSine function
2021Co-Authors: Guo Bai-ni, Lim Dongkyu, Qi FengAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the inverse Sine function, for powers of the inverse Hyperbolic Sine function, for composites of incomplete gamma functions with the inverse Hyperbolic Sine function, for powers of the inverse tangent function, and for powers of the inverse Hyperbolic tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the inverse Sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logSine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones.Comment: 24 page
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Maclaurin series expansions for powers of inverse (Hyperbolic) Sine, for powers of inverse (Hyperbolic) tangent, and for incomplete gamma functions, with applications
'American Institute of Mathematical Sciences (AIMS)', 2021Co-Authors: Guo Bai-ni, Lim Dongkyu, Qi FengAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the inverse Sine function, for powers of the inverse Hyperbolic Sine function, for composites of incomplete gamma functions with the inverse Hyperbolic Sine function, for powers of the inverse tangent function, and for powers of the inverse Hyperbolic tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the inverse Sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logSine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones. All the Maclaurin series expansions of powers of the inverse trigonometric functions can be used to derive infinite series representations of corresponding powers of the constant Pi.Comment: 26 page
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Maclaurin series expansions for positive integer powers of inverse (Hyperbolic) Sine and tangent functions and for incomplete gamma functions with applications
'American Institute of Mathematical Sciences (AIMS)', 2021Co-Authors: Guo Bai-ni, Lim Dongkyu, Qi FengAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the inverse Sine function, for powers of the inverse Hyperbolic Sine function, for composites of incomplete gamma functions with the inverse Hyperbolic Sine function, for powers of the inverse tangent function, and for powers of the inverse Hyperbolic tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the inverse Sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logSine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones. All the Maclaurin series expansions of powers of the inverse trigonometric functions can be used to derive infinite series representations of corresponding powers of the constant Pi.Comment: 28 page
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Taylor's series expansions for real powers of functions containing squares of inverse (Hyperbolic) coSine functions, explicit formulas for special partial Bell polynomials, and series representations for powers of circular constant
2021Co-Authors: Qi FengAbstract:In the paper, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (Hyperbolic) Sine and coSine functions with inverse Sine and coSine functions, and in the light of properties of partial Bell polynomials, the author establishes Taylor's series expansions of real powers of two functions containing squares of inverse (Hyperbolic) coSine functions in terms of the Stirling numbers of the first kind, presents an explicit formula of specific partial Bell polynomials at a sequence of derivatives of a function containing the square of inverse coSine function, derives several combinatorial identities involving the Stirling numbers of the first kind, demonstrates several series representations of the circular constant Pi and its real powers, recovers series expansions of positive integer powers of inverse (Hyperbolic) Sine functions in terms of the Stirling numbers of the first kind, and also deduces other useful, meaningful, and significant conclusions.Comment: 22 page
Takashi Yanagisawa - One of the best experts on this subject based on the ideXlab platform.
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renormalization group analysis of the Hyperbolic Sine gordon model asymptotic freedom from cosh interaction
Progress of Theoretical and Experimental Physics, 2019Co-Authors: Takashi YanagisawaAbstract:We present a renormalization group analysis for the Hyperbolic Sine-Gordon (sinh-Gordon) model in two dimensions. We derive the renormalization group equations based on the dimensional regularization method and the Wilson method. The same equations are obtained using both these methods. We have two parameters $\alpha$ and $\beta\equiv \sqrt{t}$ where $\alpha$ indicates the strength of interaction of a real salar field and $t=\beta^2$ is related with the normalization of the action. We show that $\alpha$ is renormalized to zero in the high-energy region, that is, the sinh-Gordon theory is an asymptotically free theory. We also show a non-renormalization property that the beta function of $t$ vanishes in two dimensions.
Kalyan Mondal - One of the best experts on this subject based on the ideXlab platform.
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single valued neutrosophic Hyperbolic Sine similarity measure based madm strategy
viXra, 2018Co-Authors: Kalyan Mondal, Surapati Pramanik, B C GiriAbstract:In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on Hyperbolic Sine function. The new similarity measures are namely, single valued neutrosophic Hyperbolic Sine similarity measure and weighted single valued neutrosophic Hyperbolic Sine similarity measure.
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Single Valued Neutrosophic Hyperbolic Sine Similarity Measure Based MADM Strategy
2018Co-Authors: Kalyan Mondal, Surapati Pramanik, B C GiriAbstract:In this paper, we introduce new type of similarity measures for single valued neutrosophic sets based on Hyperbolic Sine function
Baini Guo - One of the best experts on this subject based on the ideXlab platform.
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maclaurin series expansions for powers of inverse Hyperbolic Sine for powers of inverse Hyperbolic tangent and for incomplete gamma functions with applications to second kind bell polynomials and generalized logSine function
arXiv: Combinatorics, 2021Co-Authors: Baini Guo, Dongkyu LimAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the inverse Sine function, for powers of the inverse Hyperbolic Sine function, for composites of incomplete gamma functions with the inverse Hyperbolic Sine function, for powers of the inverse tangent function, and for powers of the inverse Hyperbolic tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the inverse Sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logSine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones.
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maclaurin series expansions for powers of inverse Hyperbolic Sine for powers of inverse Hyperbolic tangent and for incomplete gamma functions with applications
arXiv: Combinatorics, 2021Co-Authors: Baini Guo, Dongkyu LimAbstract:In the paper, the authors establish nice Maclaurin series expansions and series identities for powers of the inverse Sine function, for powers of the inverse Hyperbolic Sine function, for composites of incomplete gamma functions with the inverse Hyperbolic Sine function, for powers of the inverse tangent function, and for powers of the inverse Hyperbolic tangent function, in terms of the first kind Stirling numbers, binomial coefficients, and multiple sums, apply the nice Maclaurin series expansion for powers of the inverse Sine function to derive an explicit formula for special values of the second kind Bell polynomials and to derive a series representation of the generalized logSine function, and deduce several combinatorial identities involving the first kind Stirling numbers. Some of these results simplify and unify some known ones. All the Maclaurin series expansions of powers of the inverse trigonometric functions can be used to derive infinite series representations of corresponding powers of the constant Pi.
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monotonicity results and bounds for the inverse Hyperbolic Sine
arXiv: Classical Analysis and ODEs, 2009Co-Authors: Baini GuoAbstract:In this note, we present monotonicity results of a function involving to the inverse Hyperbolic Sine. From these, we derive some inequalities for bounding the inverse Hyperbolic Sine.
