Browsing by Author "Srivastava, H. M."
Now showing items 1-13 of 13
-
Analogues of Newton-Girard power-sum 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, 2015-02)The Newton power-sum 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. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D-q and divided difference. As applications of the post-quantum calculus ... -
Certain Results for the Twice-Iterated 2D q-Appell Polynomials
Araci, Serkan; Srivastava, H. M.; Yasmin, Ghazala; Muhyi, Abdulghani (MDPI, 2019-10)In this paper, the class of the twice-iterated 2D q-Appell polynomials is introduced. The generating function, series definition and some relations including the recurrence relations and partial q-difference equations of ... -
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
Araci, Serkan; Sen, Erdogan; Acikgoz, Mehmet; Srivastava, H. M. (SPRINGER INTERNATIONAL PUBLISHING AG, 2015-02-11)In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ... -
Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M.; Abdel-Aty, Mahmoud (MDPI, 2018-12)In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and ... -
Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions
Khan, Bilal; Liu, Zhi-Guo; 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 q-derivatives, some new subclasses of multivalent q-starlike functions which are associated with the Janowski functions are defined. Then, certain ... -
A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays
Srivastava, H. M.; Riyasat, Mumtaz; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet (Elsevier Inc., 2020-03-15)The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer ... -
New Symmetric Identities Involving q-Zeta Type Functions
Araci, Serkan; Bagdasaryan, Armen; Ozel, Cenap; Srivastava, H. M. (NATURAL SCIENCES PUBLISHING CORP-NSP, 2014-11)The main object of this paper is to obtain several symmetric properties of the q-zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials. ... -
A Note on the Truncated-Exponential Based Apostol-Type Polynomials
Araci, Serkan; Srivastava, H. M.; Khan, Waseem A.; Acikgoz, Mehmet (MDPI, 2019-04)In this paper, we propose to investigate the truncated-exponential-based Apostol-type 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 q-umbral calculus
Araci, Serkan; Acikgoz, Mehmet; Diagana, Toka; Srivastava, H. M. (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usual q-exponential function. We make use of such a generalization to derive several properties arising from the q-umbral ... -
Some new formulas for the products of the Apostol type polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M. (SPRINGEROPEN, 2016-11-10)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 Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M.; Acikgoz, Mehmet (ELSEVIER SCIENCE INC, 2015-07-01)In this paper, we present a further investigation for the Apostol-Bernoulh polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ... -
Summation formulas for the products of the Frobenius-Euler polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M. (SPRINGER, 2017-10)We present here a further investigation for the classical Frobenius-Euler polynomials. By making use of the generating function methods and summation transform techniques, we establish some summation formulas for the ...
