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On a Certain Integral Operator
Porwal, Saurabh,Aouf, Muhammed Kamal Department of Mathematics 2012 Kyungpook mathematical journal Vol.52 No.1
The purpose of the present paper is to investigate mapping properties of an integral operator in which we show that the function g defined by $$g(z)=\{\frac{c+{\alpha}}{z^c}{\int}_{o}^{z}t^{c-1}(D^nf)^{\alpha}(t)dt\}^{1/{\alpha}}$$. belongs to the class $S(A,B)$ if $f{\in}S(n,A,B)$.
Partial Sums of Starlike Harmonic Univalent Functions
Porwal, Saurabh,Dixit, Kaushal Kishore Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.3
Although, interesting properties on the partial sums of analytic univalent functions have been investigated extensively by several researchers, yet analogous results on partial sums of harmonic univalent functions have not been so far explored. The main purpose of the present paper is to establish some new and interesting results on the ratio of starlike harmonic univalent function to its sequences of partial sums.
Porwal, Saurabh Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.3
The purpose of the present paper is to investigate Confluent hypergeometric distribution. We obtain some basic properties of this distribution. It is worthy to note that the Poisson distribution is a particular case of this distribution. Finally, we give a nice application of this distribution on certain classes of univalent functions of the conic regions.
RADII PROBLEMS OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH FIXED SECOND COEFFICIENTS
PORWAL, SAURABH,BULUT, SERAP The Honam Mathematical Society 2015 호남수학학술지 Vol.37 No.3
The purpose of the present paper is to study certain radii problems for the function $$f(z)=\[{\frac{z^{1-{\gamma}}}{{\gamma}+{\beta}}}\(z^{\gamma}[D^nF(z)]^{\beta}\)^{\prime}\]^{1/{\beta}}$$, where ${\beta}$ is a positive real number, ${\gamma}$ is a complex number such that ${\gamma}+{\beta}{\neq}0$ and the function F(z) varies various subclasses of analytic functions with fixed second coefficients. Relevant connections of the results presented herewith various well-known results are briefly indicated.
GEODESIC SEMI E-PREINVEX FUNCTIONS ON RIEMANNIAN MANIFOLDS
PORWAL, SANDEEP KUMAR The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.5
Several classes of functions, named as semi E-preinvex functions and semilocal E-preinvex functions and their properties are studied by various authors. In this paper we introduce the geodesic concept over two types of problems first is semi E-preinvex functions and another is semilocal E-preinvex functions on Riemannian manifolds and study some of their properties.
Convolution on a Generalized Class of Harmonic Univalent Functions
Porwal, Saurabh,Dixit, Kaushal Kishore Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.1
In the present paper, we introduce new subclasses of harmonic univalent functions and establish certain results concerning the convolution of functions for these subclasses. Relevant connections of the results presented here with various known results are briefly indicated.
New Subclasses of Harmonic Starlike and Convex Functions
Porwal, Saurabh,Dixit, Kaushal Kishore Department of Mathematics 2013 Kyungpook mathematical journal Vol.53 No.3
The purpose of the present paper is to establish some interesting results involving coefficient conditions, extreme points, distortion bounds and covering theorems for the classes $V_H({\beta})$ and $U_H({\beta})$. Further, various inclusion relations are also obtained for these classes. We also discuss a class preserving integral operator and show that these classes are closed under convolution and convex combinations.
Bismuth zinc borate- Polyacrylonitrile nanofibers for photo-piezocatalysis
Chirag Porwal,Sahil Verma,Vishal Singh Chauhan,Rahul Vaish 한국공업화학회 2023 Journal of Industrial and Engineering Chemistry Vol.124 No.-
This study investigates the use of an electrospun membrane composed of Bi2ZnB2O7 - Polyacrylonitrile(BBZO-PAN) for the degradation of Methylene blue (MB) dye. The membrane was fabricated using theelectrospinning technique, and its structural and morphological properties were analyzed using X-raydiffraction (XRD), Fourier transform infrared spectroscopy (FTIR), field emission scanning electron microscopy(FE-SEM), and high-resolution transmission electron microscopy (HR-TEM). The membrane’schemical states before and after encapsulation of BBZO in PAN matrix were analyzed using X-ray photoemissionspectroscopy (XPS). The optical studies revealed that the band gap of the BBZO-PAN membranewas 2.92 eV, which is lower than that of the PAN membrane (4.06 eV), due to the presence of BBZO in thePAN matrix. The prepared membrane demonstrated the capability to degrade dye under visible light irradiationvia photocatalysis, piezocatalysis, and photo-piezocatalysis. The highest achieved degradationand kinetic rate constant were 82% and 8.8*10-3 min1, respectively. The active species responsible fordegradation were identified using scavenger tests for all catalytic processes. These results demonstratethe potential of the BBZO-PAN membrane for use in wastewater treatment and other environmentalapplications.
RADII PROBLEMS OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH FIXED SECOND COEFFICIENTS
( Saurabh Porwal ),( Serap Bulut ) 호남수학회 2015 호남수학학술지 Vol.37 No.3
The purpose of the present paper is to study certain radii problems for the function f(z)=[ {z ^{1-r}} over {r+ beta } ](z ^{r} [D ^{n} F(z)] ^{beta } )` ^{ 1/β} where - is a positive real number, ° is a complex number such that°+- 6= 0 and the function F(z) varies various subclasses of analytic functions with -xed second coe±cients. Relevant connections of the results presented herewith various well-known results are brie°y indicated.
GEODESIC SEMI E-PREINVEX FUNCTIONS ON RIEMANNIAN MANIFOLDS
SANDEEP KUMAR PORWAL 한국전산응용수학회 2018 Journal of applied mathematics & informatics Vol.36 No.5
Several classes of functions, named as semi E-preinvex func- tions and semilocal E-preinvex functions and their properties are studied by various authors. In this paper we introduce the geodesic concept over two types of problems rst is semi E-preinvex functions and another is semilocal E-preinvex functions on Riemannian manifolds and study some of their properties.