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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus…
Fethi Soltani
In this work, we introduce a class of Hilbert spaces F<sub>q</sub> of entire functions on the disk , , with reproducing kernel given by the q-exponential function e<sub>q</sub>(z); and we prove some properties concerning Toeplitz operators on this space. The…
Yi Li
Let F be a meromorphic functions family on the unit disc Δ, If for every (the zeros of f is a multiplicity of at least k) and if then and ( ), then F is normal on Δ.
Mohamed Abul-Dahab, Ayman Shehata
This paper deals with the study of the composite Humbert matrix function with matrix arguments . The convergence and integral form this function is established. An operational relation between a Humbert matrix function and Kummer matrix function is studied. A…
Fahreddin G. Abdullayev, Cem Koşar, Mehmet Kucukaslan
We study the approximation properties of the extremal polynomials in Ap?norm and C?norm. We prove estimates for the rate of such convergence of the sequence of the extremal polynomials on domains with corners and special cusps.
James D. Stein Jr., Linda Ho
We prove that any collection which tiles the positive integers must contain one of two types of sub-collections. We then use this result to prove a variation of the Ratio Test for convergence of series. This version of the Ratio Test shows the convergence of…
Yonghong Liu
The BCK/BCI/BCH-algebras finds general algebra system than Boolean algebras system. This paper presents a novel class of algebras of type (2, 0) called BCL-algebras. We found the BCL-algebras to be more extensive class than BCK/BCI/BCH-algebras in the abstrac…
Haiduke Sarafian
We present the general solution to the Riccati differential equation, d<i>w</i>/d<i>z</i>=<i>z<sup>n</sup></i>+<i>w<sup>2</sup></i> , for arbitrary real number <i>n</i>.
Zvonko Čerin
We study the eight infinite sequences of triples of natural numbers <i>A</i>=(<i>F<sub>2n+1</sub></i>,4<i>F<sub>2n+3</sub></i>,<i>F<sub>2n+7</sub></i>), <i>B</i>=(<i>F<sub>2n+1</sub></i>,4<i>F<sub>2n+5</sub></i>,<i>F<sub>2n+7</sub></i>), <i>C</i>=(<i>F<sub>2n…
George Nickolaos Miliaras
In this paper we prove directly that the property <i>S</i>[<i>α</i>,<i>b</i>] , implies[<i>α</i>,<i>b</i>) -compact, and under certain conditions it implies [<i>α</i>,<i>b</i>] -compact.
Zhengce Zhang, Yanyan Li
We study the solutions with dead cores and the decay estimates for a parabolic p-Laplacian equation with absorption by sub- and supersolution method. Special attention is given to the case where the solution of the steady-state problem vanishes in an interior…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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