Results 31 to 40 of about 402,444 (166)

Derivatives of tangent function and tangent numbers

, 2015
In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki, Boyadzhiev, Comtet, Daboul, Dominici, Feng Qi, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Hoffman, Hoffman, Luo, Luo, Ma, Ma, Ma, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Remmert, Schwatt, Schwatt, Wei, Xu, Zhang   +37 more
core   +1 more source

Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function

Mathematics, 2019
Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying
Hai-Yan Zhang, Rekha Srivastava, Huo Tang   +2 more
doaj   +1 more source

Cosine and Sine Operators Related with Orthogonal Polynomial Sets on the Intervall [-1,1]

, 2005
The quantization of phase is still an open problem. In the approach of Susskind and Glogower so called cosine and sine operators play a fundamental role.
Abramowitz M, Chihara T S, Diethard H Schiller, Dirac P A M, Lerner E C, Lerner E C, Nevai P G, Peřinová V, Schleich W P, Susskind L, Szegö G, Tanaś R, Thomas Appl   +12 more
core   +1 more source

Absolute multiple sine functions

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurokawa, Nobushige, Tanaka, Hidekazu
openaire   +3 more sources

Green Function Monte Carlo Method for Excited States of Quantum System [PDF]

, 1996
A novel scheme to solve the quantum eigenvalue problem through the imaginary-time Green function Monte Carlo method is presented. This method is applicable to the excited states as well as to the ground state of a generic system.
Cheon, Taksu
core   +3 more sources

On the Superstability of the Pexider Type Trigonometric Functional Equation

Journal of Inequalities and Applications, 2010
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
doaj   +2 more sources

Relation of Some Known Functions in terms of Generalized Meijer G-Functions

Journal of Mathematics, 2021
The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah, Shahid Mubeen, Gauhar Rahman, Jihad Younis   +3 more
doaj   +1 more source

Global well-posedness of the short-pulse and sine-Gordon equations in energy space

, 2010
We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon ...
Ablowitz M.J., Anton Sakovich, Dmitry Pelinovsky, Grafakos L., Sakovich A., Zeidler E.   +5 more
core   +1 more source

Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions

Journal of Inequalities and Applications, 2019
In this paper, we obtain some new inequalities which reveal the further relationship between the inverse tangent function arctanx and the inverse hyperbolic sine function sinh−1 x. At the same time, we give the analogue for inverse hyperbolic tangent and
Ling Zhu, Branko Malešević
doaj   +1 more source

Exact expectation values of local fields in quantum sine-Gordon model [PDF]

, 1996
We propose an explicit expression for vacuum expectation values of the exponential fields in the sine-Gordon model. Our expression agrees both with semi-classical results in the sine-Gordon theory and with perturbative calculations in the Massive ...
Alexander Zamolodchikov, Basor, Baxter, Baxter, Bernard, Coleman, Destri, Jimbo, Johnson, Koubek, LeClair, Lukyanov, Lukyanov, Luther, McCoy, Sato, Sergei Lukyanov, Smirnov, Smirnov, Wu, Zamolodchikov, Zamolodchikov, Zamolodchikov, Zamolodchikov   +23 more
core   +3 more sources