Results 31 to 40 of about 58,663 (206)
Normalized generalized Bessel function and its geometric properties
Journal of Inequalities and Applications, 2022 The normalization of the generalized Bessel functions U σ , r $\mathrm{U}_{\sigma,r}$ ( σ , r ∈ C ) $(\sigma,r\in \mathbb{C}\mathbbm{)}$ defined by U σ , r ( z ) = z + ∑ j = 1 ∞ ( − r ) j 4 j ( 1 ) j ( σ ) j z j + 1 $$\begin{aligned} \mathrm{U}_{\sigma,r}
Hanaa M. Zayed, Teodor Bulboacă
doaj +1 more source
Singular Schroedinger operators as self-adjoint extensions of n-entire operators [PDF]
, 2015 We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schr\"odinger operators and the theory of $n$-entire operators.
Silva, Luis O. +2 more
core +2 more sources
Certain integrals involving generalized Mittag-Leffler type functions
Vojnotehnički Glasnik, 2022 Introduction/purpose: Certain integrals involving the generalized MittagLeffler function with different types of polynomials are established. Methods: The properties of the generalized Mittag-Leffler function are used in conjunction with different ...
Sirazul Haq +3 more
doaj +1 more source
A Quantum Wavelet Uncertainty Principle
Fractal and Fractional, 2021 In the present paper, an uncertainty principle is derived in the quantum wavelet framework. Precisely, a new uncertainty principle for the generalized q-Bessel wavelet transform, based on some q-quantum wavelet, is established. A two-parameters extension
Sabrine Arfaoui +2 more
doaj +1 more source
Analysis of Generalized Bessel–Maitland Function and Its Properties
Axioms, 2023 In this article, we introduce the generalized Bessel–Maitland function (EGBMF) using the extended beta function and some important properties obtained.
Talha Usman +2 more
doaj +1 more source
Computing hypergeometric functions rigorously [PDF]
, 2016 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
core +5 more sources
, 2005 Recent work on Euclidean quantum gravity on the four-ball has proved regularity at the origin of the generalized zeta-function built from eigenvalues for metric and ghost modes, when diffeomorphism-invariant boundary conditions are imposed in the de ...
A.O. Barvinsky +25 more
core +1 more source
Transfer functions of generalized Bessel polynomials [PDF]
IEEE Transactions on Circuits and Systems, 1977 The stability and approximation properties of transfer functions of generalized Bessel polynomials (GBP) are investigated. Sufficient conditions are established for the GBP to be Hurwitz. It is shown that the Pad approximants of $e^{-s}$ are related to the GBP.
openaire +3 more sources
Generalized q-Bernoulli Polynomials Generated by Jackson q-Bessel Functions
Results in Mathematics, 2022 AbstractIn this paper, we introduce the polynomials $$B^{(k)}_{n,\alpha }(x;q)$$ B n , α ( k
S. Z. H. Eweis, Z. S. I. Mansour
openaire +3 more sources
Generalized Bessel transform of $(\beta, \gamma)$-generalized Bessel Lipschitz functions
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2015 In this paper, we prove an analog of Younis’s theorem 5.2 in~[4] for the generalized Fourier-Bessel transform on the Half line for functions satisfying the $(\beta, \gamma)$-generalized Bessel Lipschitz condition in the space $\mathrm{L}^{2}_{\alpha,n}$.
Daher, Radouan, El Hamma, Mohamed
openaire +2 more sources