Zobrazeno 1 - 10
of 75
pro vyhledávání: '"RAVINDER KRISHNA RAINA"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-16 (2022)
Abstract Our purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function z 1 F 2 ( a ; b , c ; z ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit d
Externí odkaz:
https://doaj.org/article/ce32bd84804e421da3582fef837f550a
Autor:
Min-Jie Luo, Ravinder Krishna Raina
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-13 (2020)
Abstract In this paper, we prove two concise inequalities for the associated Pollaczek polynomials. The first one is obtained by using Askey’s theorem (SIAM J. Math. Anal. 2:340–346, 1971) on orthogonal expansions with positive coefficients. The
Externí odkaz:
https://doaj.org/article/8367c3130efe4baba71f99d2b1015e0b
Autor:
Min-Jie Luo, Ravinder Krishna Raina
Publikováno v:
Symmetry, Vol 14, Iss 9, p 1845 (2022)
This paper investigates the composition structures of certain fractional integral operators whose kernels are certain types of generalized hypergeometric functions. It is shown how composition formulas of these operators can be closely related to the
Externí odkaz:
https://doaj.org/article/791270a056e844df8a2f4ef848d6a812
Autor:
Min-Jie Luo, Ravinder Krishna Raina
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-15 (2019)
Abstract We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math. 118(1–2):151–168, 2000] as the kernel of an integral t
Externí odkaz:
https://doaj.org/article/747d4eb2148e479b9b589304a006fe3f
Publikováno v:
Fractal and Fractional, Vol 6, Iss 3, p 155 (2022)
In the present paper, we establish two Erdélyi-type integrals for Saran’s hypergeometric function FK, which has applications in specific branches of applied physics and statistics (see below). We employ methods based on the k-dimensional fractiona
Externí odkaz:
https://doaj.org/article/9d15cd6196aa4a38b8e69ad4fc173127
Publikováno v:
Symmetry, Vol 13, Iss 11, p 2141 (2021)
Recently in the paper [Mediterr. J. Math. 2016, 13, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh operator and
Externí odkaz:
https://doaj.org/article/c0c6bf68178341ab84b3bd666ea10c24
Publikováno v:
Kuwait Journal of Science, Vol 42, Iss 1 (2015)
In this paper, we consider a new subclass of p-valent analytic functions in the open unitdisk involving a fractional q-differeintegral operator. For this subclass of functions,we derive the coefficient inequality and some distortion theorems. Special
Externí odkaz:
https://doaj.org/article/558aaca256d24c478332826d431734ea
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. :1-11
This paper mainly considers the problem of generalizing a certain class of analytic functions by means of a class of difference operators. We consider some relations between starlike or convex functions and functions belonging to such classes. Some o
Publikováno v:
Integral Transforms and Special Functions. 33:496-512
In the present paper we first derive a new form of a generating function for the c-associated Meixner-Pollaczek polynomials. This generating function is of particular importance since its several r...
Publikováno v:
Symmetry
Volume 13
Issue 11
Symmetry, Vol 13, Iss 2141, p 2141 (2021)
Volume 13
Issue 11
Symmetry, Vol 13, Iss 2141, p 2141 (2021)
Recently in the paper [Mediterr. J. Math. 
2016, 13, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh ope
2016, 13, 1535–1553], the authors introduced and studied a new operator which was defined as a convolution of the three popular linear operators, namely the Sǎlǎgean operator, the Ruscheweyh ope