Results 271 to 280 of about 88,745 (291)
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On $$(\phi ,\psi )$$-Inframonogenic Functions in Clifford Analysis
Bulletin of the Brazilian Mathematical Society, New Series, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Alfonso Santiesteban +2 more
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INEQUALITIES INVOLVING GAMMA AND PSI FUNCTIONS
Analysis and Applications, 2003We prove that certain functions involving the gamma and q-gamma function are monotone. We also prove that (xmψ(x))(m+1) is completely monotonic. We conjecture that -(xmψ(m)(x))(m) is completely monotonic for m ≥ 2; and we prove it, with help from Maple, for 2 ≤ m ≤ 16. We give a very useful Maple procedure to verify this for higher values of m.
Clark, W. Edwin, Ismail, Mourad E. H.
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Multipoint Padé Approximation of the Psi Function
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Applied Mathematics and Computation, 2015
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Yang, Zhen-Hang +2 more
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Yang, Zhen-Hang +2 more
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2003
In this appendix we prove the following theorem stated in section 8. In the form presented it is due to [6], but the proof given here is much simpler, and the normalizing constants are explicitly computed. See also [90] for prior results. — For notations we refer to sections 6 and 7.
Thomas Kappeler, Jürgen Pöschel
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In this appendix we prove the following theorem stated in section 8. In the form presented it is due to [6], but the proof given here is much simpler, and the normalizing constants are explicitly computed. See also [90] for prior results. — For notations we refer to sections 6 and 7.
Thomas Kappeler, Jürgen Pöschel
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Journal of Difference Equations and Applications, 2001
To the author's knowledge, among the so—called special functions, the gamma function is a unique one which is defined by a linear difference equation and is a hyper—transcendental function. There exists an another well—known hyper—transcendental function called the psi function, which is merely the logarithmic derivative of the gamma function.
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To the author's knowledge, among the so—called special functions, the gamma function is a unique one which is defined by a linear difference equation and is a hyper—transcendental function. There exists an another well—known hyper—transcendental function called the psi function, which is merely the logarithmic derivative of the gamma function.
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Insights into function of PSI domains from structure of the Met receptor PSI domain
Biochemical and Biophysical Research Communications, 2004PSI domains are cysteine-rich modules found in extracellular fragments of hundreds of signaling proteins, including plexins, semaphorins, integrins, and attractins. Here, we report the solution structure of the PSI domain from the human Met receptor, a receptor tyrosine kinase critical for proliferation, motility, and differentiation.
Kozlov, Guennadi +6 more
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A formula for the Chebyshev PSI function
Mathematical Notes of the Academy of Sciences of the USSR, 1978A formula expressing the Chebyshevψ function in terms of the characteristic values of the Laplace-Beltrami operator on the fundamental domain of a modular group and the hyperbolic classes of conjugate elements of this group is derived.
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Monotonicity properties of functions related to the psi function
Applied Mathematics and Computation, 2010Let \(\psi(x):=\frac{\Gamma'(x)}{\Gamma(x)}\), \[ J_a(x)=(x+a)^4\left[\ln\left(x+\frac12\right)-\psi(x+1)+\frac{1}{24\left(x+\frac12\right)^2}\right], a\geq 0. \] The author proves that the function \(J_a(x)\) is strictly increasing on \((0,\infty)\) if and only if \(a\leq \frac12\). Let \(\gamma\) be Euler's constant and \[ R_n=\sum_{k=1}^n\frac{1}{k}-
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Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions
AnalysisAbstract In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these ...
Ashish Verma +3 more
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