Results 11 to 20 of about 10,519,387 (260)
Transcendental equations satisfied by the individual zeros of Riemann $\zeta$, Dirichlet and modular $L$-functions [PDF]
, 2015 We consider the non-trivial zeros of the Riemann $\zeta$-function and two classes of $L$-functions; Dirichlet $L$-functions and those based on level one modular forms.
França, Guilherme, LeClair, André
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Symbolic expansion of transcendental functions [PDF]
Computer Physics Communications, 2002 Higher transcendental function occur frequently in the calculation of Feynman integrals in quantum field theory. Their expansion in a small parameter is a non-trivial task. We report on a computer program which allows the systematic expansion of certain classes of functions. The algorithms are based on the Hopf algebra of nested sums.
exaly +5 more sources
ON THE PERIODICITY OF TRANSCENDENTAL ENTIRE FUNCTIONS
Bulletin of the Australian Mathematical Society, 2020 According to a conjecture by Yang, if $f(z)f^{(k)}(z)$ is a periodic function, where $f(z)$ is a transcendental entire function and $k$ is a positive integer, then $f(z)$ is also a periodic function.
Xinling Liu, R. Korhonen
semanticscholar +4 more sources
Transcendental values of the digamma function
Journal of Number Theory, 2007 AbstractLet ψ(x) denote the digamma function, that is, the logarithmic derivative of Euler's Γ-function. Let q be a positive integer greater than 1 and γ denote Euler's constant. We show that all the numbersψ(a/q)+γ,(a,q)=1,1⩽a⩽q, are transcendental. We also prove that at most one of the numbersγ,ψ(a/q),(a,q)=1,1⩽a⩽q, is algebraic.
M. Murty, N. Saradha
semanticscholar +3 more sources
Transcendentality of ABJM two-point functions [PDF]
Journal of High Energy PhysicsWe compute the two-point function of protected dimension-1 operators in ABJM up to two loops in dimensional regularization. The result exhibits uniform transcendentality empirically, which we conjecture to hold at all orders. We leverage this property to
Marco S. Bianchi
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Transcendental Values of a Class of Functions
Indagationes Mathematicae (Proceedings), 1963 R. K. Juberg
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InPrime, 2021 In this paper, we study a mathematical model of an immune response system consisting of a number of immune cells that work together to protect the human body from invading tumor cells.
A. Yusnaeni +2 more
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Fractal and Fractional, 2022 In this research, we look at the Julia set patterns that are linked to the entire transcendental function f(z)=aezn+bz+c, where a,b,c∈C and n≥2, using the Mann iterative scheme, and discuss their dynamical behavior.
D. J. Prajapati +4 more
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Quantum circuits design for evaluating transcendental functions based on a function-value binary expansion method [PDF]
Quantum Information Processing, 2020 Quantum arithmetic in the computational basis constitutes the fundamental component of many circuit-based quantum algorithms. There exist a lot of studies about reversible implementations of algebraic functions, while research on the higher-level ...
Shengbin Wang +6 more
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The Functions of Transcendental Ego in Kant's Epistemology [PDF]
حکمت و فلسفه, 2019 Kant's transcendental ego is the absolute and final subject which constitutes the logical foundation of knowledge and experience. It is completely subjective, and as the most necessary and fundamental element in Kant's epistemology is involved in any ...
null null, behzad hassanpour
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