# International Journal of Mathematics and Mathematical Sciences Impact Factor & Information

Publisher: University of Central Florida; Calcutta Mathematical Society; East Carolina University, Hindawi Publishing Corporation

## Journal description

IJMMS is a refereed, math journal devoted to publication of original research papers, research notes, and review articles, with emphasis on unsolved problems and open questions in Mathematics and Mathematical Sciences. All areas listed on the cover of Mathematical Reviews, such as Pure and Applied Mathematics, Mathematical Physics, Theoretical Mechanics, Probability and Mathematical Statistics, and Theoretical Biology, are included within the scope of the journal. Discontinued - now Journal of Medical Marketing.

## Impact Factor Rankings

5-year impact 0.00 0.00 0.00 0.00 0.00 International Journal of Mathematics and Mathematical Sciences website International journal of mathematics and mathematical sciences (Online), IJMMS 0161-1712 48653835 Periodical, Internet resource Internet Resource, Journal / Magazine / Newspaper

## Publisher details

• Pre-print
• Author can archive a pre-print version
• Post-print
• Author can archive a post-print version
• Conditions
• Publisher's version/PDF may be used
• Eligible UK authors may deposit in OpenDepot
• All titles are open access journals
• Classification
​ green

## Publications in this journal

• ##### Article: Analytic Solutions of a Second-Order Functional Differential Equation with a State Derivative Dependent Delay
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ABSTRACT: In this paper, the second order differential equation with a state derivative dependent delay of the form $a_2x"(z) + a_1x'(z) + a_0x(z) = x(p(z) + bx'(z)) + h(z)$ has been studied. Considering a convergent power series $g(z)$ of an auxiliary equation $a_2 \gamma^{2} g"(\gamma z) g'(z) = [g (\gamma^2 z) - p(g(\gamma z))] \gamma g'(\gamma z)(g' (z))^{2} + bh'(g(z))(g' (z))^{3} + \Big( a_2p"(g(z))+ a_1p'(g(z)) +a_0p(g(z))\Big) (g'(z))^{3} - a_1\gamma g'(\gamma z) (g' (z))^{2} - a_0g(\gamma z)(g'(z))^{3} + a_2\gamma g'(\gamma z)g"( z)$ with the relation $p(z) + bx'(z) = g(\gamma g^{-1}(z)),$ we obtain an analytic solution $x(z).$ Moreover, an analytic solution depends on a parameter $\gamma$ which satisfies one of the following conditions: $(H1) \ 0<|\gamma|<1,$ $(H2) \ \gamma = e^{2\pi i \theta }$ where $\theta$ is a Brjuno number or $(H3) \ \gamma = e^{2\pi i \theta }$ where $\theta$ is a rational number.
International Journal of Mathematics and Mathematical Sciences 08/2015; 2015(4). DOI:10.1155/2015/904679
• ##### Article: Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions
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ABSTRACT: Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally in statistical distribution theory.
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015:1-15. DOI:10.1155/2015/190723
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##### Article: On ( k , k n - k 2 - 2 k - 1 ) -Choosability of n -Vertex Graphs
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ABSTRACT: A -list assignment of a graph is a mapping which assigns a set of size to each vertex of and . A graph is -choosable if has a proper coloring such that for each -list assignment . In 2011, Charoenpanitseri et al. gave a characterization of -choosability of -vertex graphs when and left open problems when . Recently, Ruksasakchai and Nakprasit obtain the results when . In this paper, we extend the results to case .
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015:1-6. DOI:10.1155/2015/690517
• ##### Article: Some Results on Generalized α , β -Derivations in ∗ -Prime Rings
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ABSTRACT: We extend some well known commutativity results concerning a nonzero square closed -Lie ideal and generalized -derivations of -prime rings.
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015:1-6. DOI:10.1155/2015/583050
• ##### Article: k -Smooth Points in Some Banach Spaces
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ABSTRACT: We characterize the -smooth points in some Banach spaces. We will deal with injective tensor product, the Bochner space of (equivalence classes of) -essentially bounded measurable -valued functions, and direct sums of Banach spaces.
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015:1-4. DOI:10.1155/2015/394282
• ##### Article: Some Applications of New Modified q -Integral Type Operators
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ABSTRACT: We introduce a new sequence of q -integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval. Weighted statistical approximation theorem, Korovkin type theorems for fuzzy continuous functions, and an estimate for the rate of convergence for these operators.
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015(2):1-7. DOI:10.1155/2015/874178
• ##### Article: Real Zeros of a Class of Hyperbolic Polynomials with Random Coefficients
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ABSTRACT: We have proved here that the expected number of real zeros of a random hyperbolic polynomial of the form y = P n t = n 1 a 1 cosh ⁡ t + n 2 a 2 cosh ⁡ 2 t + ⋯ + n n a n cosh ⁡ n t , where a 1 , … , a n is a sequence of standard Gaussian random variables, is n / 2 + o p ( 1 ) . It is shown that the asymptotic value of expected number of times the polynomial crosses the level y = K is also n / 2 as long as K does not exceed 2 n e μ ( n ) , where μ ( n ) = o ( n ) . The number of oscillations of P n ( t ) about y = K will be less than n / 2 asymptotically only if K = 2 n e μ ( n ) , where μ ( n ) = O ( n ) or n - 1 μ ( n ) → ∞ . In the former case the number of oscillations continues to be a fraction of n and decreases with the increase in value of μ ( n ) . In the latter case, the number of oscillations reduces to o p ( n ) and almost no trace of the curve is expected to be present above the level y = K if μ ( n ) / ( n log n ) → ∞ .
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015(5):1-7. DOI:10.1155/2015/261370
• ##### Article: Vehicle Routing Problem for Multiple Product Types, Compartments, and Trips with Soft Time Windows
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ABSTRACT: This paper presents a mathematical model to solve the vehicle routing problem with soft time windows (VRPSTW) and distribution of products with multiple categories. In addition, we include multiple compartments and trips. Each compartment is dedicated to a single type of product. Each vehicle is allowed to have more than one trip, as long as it corresponds to the maximum distance allowed in a workday. Numerical results show the effectiveness of our model.
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015(1):1-9. DOI:10.1155/2015/126754
• ##### Article: Some Relations between Admissible Monomials for the Polynomial Algebra
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ABSTRACT: Let P ( n ) = F 2 [ x 1 , … , x n ] be the polynomial algebra in n variables x i , of degree one, over the field F 2 of two elements. The mod-2 Steenrod algebra A acts on P ( n ) according to well known rules. A major problem in algebraic topology is of determining A + P ( n ) , the image of the action of the positively graded part of A . We are interested in the related problem of determining a basis for the quotient vector space Q ( n ) = P ( n ) / A + P ( n ) . Q ( n ) has been explicitly calculated for n = 1,2 , 3,4 but problems remain for n ≥ 5 . Both P ( n ) = ⨁ d ≥ 0 P d ( n ) and Q ( n ) are graded, where P d ( n ) denotes the set of homogeneous polynomials of degree d . In this paper, we show that if u = x 1 m 1 ⋯ x n - 1 m n - 1 ∈ P d ′ ( n - 1 ) is an admissible monomial (i.e., u meets a criterion to be in a certain basis for Q ( n - 1 ) ), then, for any pair of integers ( j , λ ), 1 ≤ j ≤ n , and λ ≥ 0 , the monomial h j λ u = x 1 m 1 ⋯ x j - 1 m j - 1 x j 2 λ - 1 x j + 1 m j ⋯ x n m n - 1 ∈ P d ′ + ( 2 λ - 1 ) ( n ) is admissible. As an application we consider a few cases when n = 5 .
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015(2):1-7. DOI:10.1155/2015/235806
• ##### Article: Counting Quadratic Nonresidues in Shifted Subsets of the Set of Quadratic Nonresidues for Primes p = 4 k + 1
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ABSTRACT: Let be a prime number and the finite field with elements. For , will denote the set of quadratic nonresidues less than or equal to . In this work we calculate the number of quadratic nonresidues in the shifted set .
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015:1-5. DOI:10.1155/2015/163092
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##### Article: Quantum Product of Symmetric Functions
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ABSTRACT: We provide an explicit description of the quantum product of multisymmetric functions using the elementary multisymmetric functions introduced by Vaccarino.
International Journal of Mathematics and Mathematical Sciences 01/2015; 2015:1-13. DOI:10.1155/2015/476926
• ##### Article: Some Condition for Scalar and Vector Measure Games to Be Lipschitz
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ABSTRACT: We provide a characterization for vector measure games in pNA_\infty, with vector of nonatomic probability measures, analogous to the one of Tauman for games in pNA, and also provide a necessary and sufficient condition for a particular class of vector measure games to belong to AC_\infty .
International Journal of Mathematics and Mathematical Sciences 10/2014; 2014(Article ID 849685). DOI:10.1155/2014/849685