Browsing by Author "Srivastava, H. M."
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Analogues of NewtonGirard powersum formulas for entire and meromorphic functions with applications to the Riemann zeta function
Araci, Serkan; Bagdasaryan, Armen; Acikgoz, Mehmet; Srivastava, H. M. (ACADEMIC PRESS INC ELSEVIER SCIENCE, 201502)The Newton powersum formulas relate to sums of powers of roots of a polynomial with the coefficients of the polynomial. In this paper we obtain formulas that relate to sums of reciprocal powers of zeros and poles of entire ... 
A certain (p, q)derivative operator and associated divided differences
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet; Srivastava, H. M. (SPRINGEROPEN, 2016)Recently, Sofonea (Gen. Math. 16:4754, 2008) considered some relations in the context of quantum calculus associated with the qderivative operator Dq and divided difference. As applications of the postquantum calculus ... 
Certain Results for the TwiceIterated 2D qAppell Polynomials
Araci, Serkan; Srivastava, H. M.; Yasmin, Ghazala; Muhyi, Abdulghani (MDPI, 201910)In this paper, the class of the twiceiterated 2D qAppell polynomials is introduced. The generating function, series definition and some relations including the recurrence relations and partial qdifference equations of ... 
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the pLaplacian operator
Araci, Serkan; Sen, Erdogan; Acikgoz, Mehmet; Srivastava, H. M. (SPRINGER INTERNATIONAL PUBLISHING AG, 20150211)In this article, we investigate the existence of a solution arising from the following fractional qdifference boundary value problem by using the pLaplacian operator: Dq(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ... 
HigherOrder Convolutions for ApostolBernoulli, ApostolEuler and ApostolGenocchi Polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M.; AbdelAty, Mahmoud (MDPI, 201812)In this paper, we present a systematic and unified investigation for the ApostolBernoulli polynomials, the ApostolEuler polynomials and the ApostolGenocchi polynomials. By applying the generatingfunction methods and ... 
Higherorder qderivatives and their applications to subclasses of multivalent Janowski type qstarlike functions
Khan, Bilal; Liu, ZhiGuo; Srivastava, H. M.; Araci, Serkan; Khan, Nazar; Ahmad, Qazi Zahoor (SPRINGER, OCT 7 2021)In the present investigation, with the help of certain higher order qderivatives, some new subclasses of multivalent qstarlike functions which are associated with the Janowski functions are defined. Then, certain ... 
A new approach to Legendretruncatedexponentialbased Sheffer sequences via Riordan arrays
Srivastava, H. M.; Riyasat, Mumtaz; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet (Elsevier Inc., 20200315)The significance of multivariable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3variable Legendretruncatedexponentialbased Sheffer ... 
New Symmetric Identities Involving qZeta Type Functions
Araci, Serkan; Bagdasaryan, Armen; Ozel, Cenap; Srivastava, H. M. (NATURAL SCIENCES PUBLISHING CORPNSP, 201411)The main object of this paper is to obtain several symmetric properties of the qzeta type functions. As applications of these properties, we give some new interesting identities for the modified qGenocchi polynomials. ... 
A Note on the TruncatedExponential Based ApostolType Polynomials
Araci, Serkan; Srivastava, H. M.; Khan, Waseem A.; Acikgoz, Mehmet (MDPI, 201904)In this paper, we propose to investigate the truncatedexponentialbased Apostoltype polynomials and derive their various properties. In particular, we establish the operational correspondence between this new family of ... 
A novel approach for obtaining new identities for the lambda extension of q Euler polynomials arising from the qumbral calculus
Araci, Serkan; Acikgoz, Mehmet; Diagana, Toka; Srivastava, H. M. (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)In this article, a new qgeneralization of the ApostolEuler polynomials is introduced using the usual qexponential function. We make use of such a generalization to derive several properties arising from the qumbral ... 
Some new formulas for the products of the Apostol type polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M. (SPRINGEROPEN, 20161110)In the year 2014, Kim et al. computed a kind of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded degree. ... 
Some new identities for the ApostolBernoulli polynomials and the ApostolGenocchi polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M.; Acikgoz, Mehmet (ELSEVIER SCIENCE INC, 20150701)In this paper, we present a further investigation for the ApostolBernoulh polynomials and the ApostolGenocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ... 
Summation formulas for the products of the FrobeniusEuler polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M. (SPRINGER, 201710)We present here a further investigation for the classical FrobeniusEuler polynomials. By making use of the generating function methods and summation transform techniques, we establish some summation formulas for the ...