Inclusion relations of $ q $-Bessel functions associated with generalized conic domain

Shahid Khan;  ; Saqib Hussain; Maslina Darus;  ;

doi:10.3934/math.2021216

Inclusion relations for Bessel functions for domains bounded by conical domains

Advances in Difference Equations ◽

10.1186/1687-1847-2014-288 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 288

Author(s):

Chellakutti Ramachandran ◽

Srinivasan Annamalai ◽

Srikandan Sivasubramanian

Keyword(s):

Bessel Functions ◽

Inclusion Relations

High accuracy trigonometric approximations of the real Bessel functions of the I kind

Журнал вычислительной математики и математической физики ◽

10.31857/s0044466920010093 ◽

2020 ◽

Vol 60 (1) ◽

pp. 118-119

Author(s):

A. Cuyt ◽

Wen-shin Lee ◽

Min Wu

Keyword(s):

Bessel Functions ◽

High Accuracy ◽

The Real

On αβ-statistical convergence for sequences of fuzzy mappings and Korovkin type approximation theorem

Filomat ◽

10.2298/fil1712749k ◽

2017 ◽

Vol 31 (12) ◽

pp. 3749-3760 ◽

Cited By ~ 5

Author(s):

Ali Karaisa ◽

Uğur Kadak

Keyword(s):

Statistical Convergence ◽

Approximation Theorem ◽

Linear Operators ◽

Positive Linear Operators ◽

Bernstein Operator ◽

Korovkin Type Approximation Theorem ◽

Type Approximation ◽

Inclusion Relations ◽

Prior Investigation

Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise ??-statistical convergence of fuzzy mappings of order ?. Also, we establish the concept of strongly ??-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue of Korovkin-type approximation theorem for fuzzy positive linear operators with respect to ??-statistical convergence. Lastly, we apply fuzzy Bernstein operator to construct an example in support of our result.

Polynomial approximations to Bessel functions

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2003.812234 ◽

2003 ◽

Vol 51 (6) ◽

pp. 1398-1400 ◽

Cited By ~ 21

Author(s):

R.P. Millane ◽

J.L. Eads

Keyword(s):

Bessel Functions ◽

Polynomial Approximations

Collective interlacing and ranges of the positive zeros of Bessel functions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125166 ◽

2021 ◽

pp. 125166

Author(s):

Yong-Kum Cho ◽

Seok-Young Chung

Keyword(s):

Bessel Functions ◽

Zeros Of Bessel Functions

Some Applications of the Wright Function in Continuum Physics: A Survey

Mathematics ◽

10.3390/math9020198 ◽

2021 ◽

Vol 9 (2) ◽

pp. 198

Author(s):

Yuriy Povstenko

Keyword(s):

Heat Conduction ◽

Fractional Calculus ◽

Exponential Function ◽

Nonlocal Elasticity ◽

Bessel Functions ◽

Wright Function ◽

Mainardi Function ◽

Integral Relations

The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function to description of diffusion, heat conduction, thermal and diffusive stresses, and nonlocal elasticity in the framework of fractional calculus are discussed.

Certification of algorithm 236 [S17]: Bessel functions of the first kind

Communications of the ACM ◽

10.1145/363744.363769 ◽

1965 ◽

Vol 8 (2) ◽

pp. 105-106 ◽

Cited By ~ 1

Author(s):

Walter Gautschi

Keyword(s):

Bessel Functions

Partial sums and inclusion relations for analytic functions involving (p, q)-differential operator

Open Mathematics ◽

10.1515/math-2021-0028 ◽

2021 ◽

Vol 19 (1) ◽

pp. 329-337

Author(s):

Huo Tang ◽

Kaliappan Vijaya ◽

Gangadharan Murugusundaramoorthy ◽

Srikandan Sivasubramanian

Keyword(s):

Analytic Function ◽

Differential Operator ◽

Lower Bounds ◽

Analytic Functions ◽

Function Class ◽

Partial Sums ◽

Generalized Function ◽

Inclusion Relations ◽

Alpha Beta

Abstract Let f k ( z ) = z + ∑ n = 2 k a n z n {f}_{k}\left(z)=z+{\sum }_{n=2}^{k}{a}_{n}{z}^{n} be the sequence of partial sums of the analytic function f ( z ) = z + ∑ n = 2 ∞ a n z n f\left(z)=z+{\sum }_{n=2}^{\infty }{a}_{n}{z}^{n} . In this paper, we determine sharp lower bounds for Re { f ( z ) / f k ( z ) } {\rm{Re}}\{f\left(z)\hspace{-0.08em}\text{/}\hspace{-0.08em}{f}_{k}\left(z)\} , Re { f k ( z ) / f ( z ) } {\rm{Re}}\{{f}_{k}\left(z)\hspace{-0.08em}\text{/}\hspace{-0.08em}f\left(z)\} , Re { f ′ ( z ) / f k ′ ( z ) } {\rm{Re}}\{{f}^{^{\prime} }\left(z)\hspace{-0.08em}\text{/}\hspace{-0.08em}{f}_{k}^{^{\prime} }\left(z)\} and Re { f k ′ ( z ) / f ′ ( z ) } {\rm{Re}}\{{f}_{k}^{^{\prime} }\left(z)\hspace{-0.08em}\text{/}\hspace{-0.08em}{f}^{^{\prime} }\left(z)\} , where f ( z ) f\left(z) belongs to the subclass J p , q m ( μ , α , β ) {{\mathcal{J}}}_{p,q}^{m}\left(\mu ,\alpha ,\beta ) of analytic functions, defined by Sălăgean ( p , q ) \left(p,q) -differential operator. In addition, the inclusion relations involving N δ ( e ) {N}_{\delta }\left(e) of this generalized function class are considered.

On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions

Journal of Function Spaces ◽

10.1155/2019/1329462 ◽

2019 ◽

Vol 2019 ◽

pp. 1-6 ◽

Cited By ~ 2

Author(s):

B. A. Frasin ◽

Ibtisam Aldawish

Keyword(s):

Integral Operator ◽

Bessel Functions ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Generalized Bessel Functions ◽

Necessary And Sufficient

The main object of this paper is to find necessary and sufficient conditions for generalized Bessel functions of first kind zup(z) to be in the classes SPp(α,β) and UCSP(α,β) of uniformly spiral-like functions and also give necessary and sufficient conditions for z(2-up(z)) to be in the above classes. Furthermore, we give necessary and sufficient conditions for I(κ,c)f to be in UCSPT(α,β) provided that the function f is in the class Rτ(A,B). Finally, we give conditions for the integral operator G(κ,c,z)=∫0z(2-up(t))dt to be in the class UCSPT(α,β). Several corollaries and consequences of the main results are also considered.

Orlicz lacunary sequence spaces of 𝑙-fractional difference operators

Journal of Applied Analysis ◽

10.1515/jaa-2020-2018 ◽

2020 ◽

Vol 26 (2) ◽

pp. 173-183

Author(s):

Kuldip Raj ◽

Kavita Saini ◽

Anu Choudhary

Keyword(s):

Difference Operator ◽

Lacunary Sequence ◽

Sequence Spaces ◽

Difference Operators ◽

Normed Spaces ◽

Fractional Difference ◽

New Approach ◽

Inclusion Relations ◽

Difference Sequence Spaces ◽

Bounded Sequences

AbstractRecently, S. K. Mahato and P. D. Srivastava [A class of sequence spaces defined by 𝑙-fractional difference operator, preprint 2018, http://arxiv.org/abs/1806.10383] studied 𝑙-fractional difference sequence spaces. In this article, we intend to make a new approach to introduce and study some lambda 𝑙-fractional convergent, lambda 𝑙-fractional null and lambda 𝑙-fractional bounded sequences over 𝑛-normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored, and some inclusion relations concerning these spaces are also established. Finally, some characterizations of the newly formed sequence spaces are given.