Arayik Martirosyan, Lawrence J. DeLucas, Christina Schmidt, Markus Perbandt, Deborah McCombs, Martin Cox, Christopher Radka and Christian Betzel
The image-analysis software ImageJ (developed at the National Institute of Mental Health, Maryland, USA) was then used to determine the size of crystals at different positions in the capillaries. The statistical analyses were performed using Origin (OriginLab Corporation) data analysis and graphing software tools as well as Microsoft Excel statistical tools (Microsoft Office 365 ProPlus, Microsoft Corporation). A two-tailed, unpaired t -test (Student’s t -test) was used to determine significant difference in mean values between different crystal groups within a
Alicia Cordero, Jai P. Jaiswal and Juan R. Torregrosa
attraction belong to the Julia set.
By using these tools of complex dynamics, we study the general convergence of family (1) on polynomials with multiple roots of multiplicity 2 and 3. It is known that the roots of a polynomial can be transformed by an affine map with no qualitative changes on the dynamics of the family. So, we can use the polynomials p ( z ) = ( z‒a ) 2 ( z‒b ) and q ( z ) = ( z‒a ) 3 ( z‒b ).
The rest of the paper is organised as follows. In Section 2 the complex dynamics of the family is studied on low-degree polynomials with multiplicity m
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them with previous ones. The results may be useful to explain the physical effects of various nonlinear models in non-linear sciences. IBSEFM is a powerful and efficient mathematical tool that can be used to process various nonlinear mathematical models.
Communicated by Juan Luis García Guirao
 Y. Zhang, H. Dong, X. Zhang, and H. Yang, Rational solutions and lump solutions to the generalized (3+1)-dimensional Shallow Water-like equation, Computers and Mathematics with Applications, vol. 73, no. 2, pp. 246-252, 2017. Zhang Y. Dong H
Wavelets theory is a new emerging tool in applied mathematical research area. It is applicable in various fields, such as, signal analysis for waveform representation and segmentations, time-frequency analysis and Harmonic analysis. Wavelets permit the accurate representation of a variety of functions and operators. Moreover, wavelets establish a connection with fast numerical algorithms [ 1 , 2 ]. Since 1991 the various types of wavelet methods have been applied for the numerical solution of different kinds of integral equations [ 3 ]. Namely
Esin İnan Eskitaşçıoğlu, Muhammed Bahadırhan Aktaş and Haci Mehmet Baskonus
dependent reaction-diffusion equation Applied Mathematics and Nonlinear Sciences 1 2 311 320 2016
 F.Dusunceli, E. Celik, An Effective Tool: Numerical Solutions by Legendre Polynomials for High-Order Linear Complex Differential Equations, British Journal of Applied Science & Technology, 8(4), 348-355, 2015. 10.9734/BJAST/2015/16690 Dusunceli F. Celik E. An Effective Tool: Numerical Solutions by Legendre Polynomials for High-Order Linear Complex Differential Equations British Journal of Applied Science & Technology 8 4 348 355 2015
 R.M. Tekiyeh, J. Manafian, H