Results 21 to 30 of about 80,976 (233)
Extension of Oppenheim's Problem to Bessel Functions
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
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The paper presents a new hybrid method relied upon to solve integral equations of the electric field in time domain and to model linear antennas with pulse excitation.
Anna Witenberg
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Properties of the Turánian of modified Bessel functions [PDF]
In this paper some new series and integral representations for the Turánian of modified Bessel functions of the first kind are given, which give new asymptotic expansions and tight bounds for the Turán determinant in the question. It is shown that in the case of natural and real order the Turánian can be represented in a relatively compact form, which ...
Mező, István, Baricz, Árpád
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On some integrals of products of cylindrical functions
For a number of solutions to problems of a multilayer optical fiber, the field of which in each layer is described by the sum of the corresponding Bessel functions, integrals of the products of these functions are of interest.
V.A. Burdin
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Inequalities for the modified k-Bessel function
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the m-Bessel functions. The log-convexity with respect to the order of the k-Bessel also given.
Saiful Rahman Mondal +1 more
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Generalised partition functions: Inferences on phase space distributions [PDF]
The statistical mechanical partition function can be used to construct different forms of phase space distributions not restricted to the Gibbs-Boltzmann factor.
Baumjohann, W., Treumann, R. A.
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Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions
In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, Kıymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions. Applied Mathematics and Computation, 2014, 226 : 484-491] is defined. Several
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
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This work details the rapid generation (t ≤ 5 min) of size‐tunable, ultralow dispersity (Ð ≤ 1.01) 2D hexagonal nanosheets by self‐limiting polymerization‐induced crystallization‐driven self‐assembly (SL‐PI‐CDSA) of modular and templating poly(aryl isocyanide) block copolymers, with functions that permit post‐polymerization modifications. Specifically,
Randall A. Scanga +13 more
wiley +2 more sources
On the zeros of the Macdonald functions [PDF]
We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros ...
Yuji Hamana +2 more
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The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo +4 more
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