American Journal of Mathematical Analysis
http://www.sciepub.com/journal/AJMA
American Journal of Mathematical Analysis is a peer-reviewed, open access journal that publishes original research articles and review articles in all areas of Mathematical Analysis. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of Mathematical Analysis.Science and Education Publishingen2013 Science and Education Publishing Co. Ltd All rights reserved.American Journal of Mathematical Analysis
3
1
January 2015
2013 Science and Education Publishing Co. Ltd All rights reserved.
Inequalities for the Sth Derivative of Polynomials Not Vanishing inside A Circle
http://pubs.sciepub.com/ajma/3/1/1
, then for , Bidkham and Dewan [J. Math. Anal. Appl. 166(1992), 191-193] proved max In this paper, we prove an interesting generalization as well as an improvement of this result by considering the s^{th} derivative of lacunary type of polynomials P(z) of degree n > 3.]]>
GULSHAN SINGH
2015-01-23Science and Education Publishing2015-01-23131410.12691/ajma-3-1-1
Common Fixed Point Theorems for Two Self-maps in Cone Metric Spaces under Different Contractive Conditions
http://pubs.sciepub.com/ajma/3/1/2
P. Rama Bhadra Murthy, M. Rangamma
2015-01-27Science and Education Publishing2015-01-27135910.12691/ajma-3-1-2
Two Operator Representations for the Trivariate q-Polynomials and Hahn Polynomials
http://pubs.sciepub.com/ajma/3/1/3
q-polynomials F_{n}(x, y, z; q) as a general form of Hahn polynomials and . We represent F_{n}(x, y, z; q) by two operators: the homogeneous q-shift operator L(bθ_{xy}) given by H. L. Saad and A. A. Sukhi [16], and the Cauchy companian operator E(a, b; θ) given by V. Y. B. Chen [8] to derive the generating function, symmetric property, Mehler’s formula, Rogers formula, another Roger-type formula, linearization formula and an extended Rogers formula for the trivariate q-polynomials. Then we give the corresponding formulas for both Hahn polynomials and by represent Hahn polynomials by the operators L(bθ_{xy}) and E(a, b; θ), also by a special substitution in the trivariate q-polynomials F_{n}(x, y, z; q).]]>
Mohammed A. Abdlhusein
2015-02-05Science and Education Publishing2015-02-0513101810.12691/ajma-3-1-3
On the Analytic Curve of C2 which is not Omitted by Every Fatou-Bieberbach Domain
http://pubs.sciepub.com/ajma/3/1/4
C be an irreducible (may be transendental) analytic curve whose genus is geater than 1. Then every Fatou-Bieberbach domain does not omit C.]]>
YUKINOBU ADACHI
2015-02-06Science and Education Publishing2015-02-0613192010.12691/ajma-3-1-4