Structural transitions in a NiTi alloy: a multistage loading-unload cycle by V. Di Cocco, C. Maletta, S. Natali

“…NiTi shape memory alloys (SMAs) are increasingly used in many engineering and medical applications, because they combine special functional properties, such as shape memory effect and pseudoelasticity, with good mechanical strength and biocompatibility. …”
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Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators by D. L. Suthar, Fasil Gidaf, Mitku Andualem

“…Due to the general nature of the I-function and the generalized M-series, a number of results involving special functions can be achieved only by making appropriate values for the parameters.…”
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Functional mechanism on stem cells by tea (Camellia sinensis) bioactive compounds by Yao Cheng, Jiachen Sun, Hui Zhao, Hongxing Guo, Jianying Li

“…Stem cells (SCs) are the immature and undifferentiated cells by a varying capacity for proliferation, self-renewal and the capability to differentiate into one or more different derivatives with specialized function or maintain their stem cell phenotype. …”
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Quantum–Fractal–Fractional Operator in a Complex Domain by Adel A. Attiya, Rabha W. Ibrahim, Ali H. Hakami, Nak Eun Cho, Mansour F. Yassen

“…Some examples are considered, involving special functions like Bessel and generalized hypergeometric functions.…”
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k -Fractional Variants of Hermite-Mercer-Type Inequalities via s-Convexity with Applications by Saad Ihsan Butt, Jamshed Nasir, Shahid Qaisar, Khadijah M. Abualnaja

“…As an application viewpoint, certain estimates in respect of special functions and special means of real numbers are also illustrated to demonstrate the applicability and effectiveness of the suggested scheme.…”
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Exact Posterior distribution of risk ratio in the Kumaraswamy–Binomial model by Andrade, Jose A. A., Rathie, Pushpa

“…The results are based on special functions and we give exact expressions for the posterior density, moments, and cumulative distribution. …”
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Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications by Lokenath Debnath, Bicheng Yang

“…Included are numerous generalizations, extensions, and refinements of Hilbert-type inequalities involving many special functions such as beta, gamma, logarithm, trigonometric, hyper-bolic, Bernoulli's functions and Bernoulli's numbers, Euler's constant, zeta function, and hypergeometric functions with many applications. …”
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Ring-Shaped Potential and a Class of Relevant Integrals Involved Universal Associated Legendre Polynomials with Complicated Arguments by Wei Li, Chang-Yuan Chen, Shi-Hai Dong

“…The present method can in principle be generalizable to the integrals involving other special functions. As an illustration we also study a typical Bessel integral with a complicated argument ∫0∞Jn(αx2+z2)/(x2+z2)nx2m+1dx.…”
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Harmonic analysis on the quantized Riemann sphere by Jaak Peetre, Genkai Zhang

“…In the course of the discussion many special functions (hypergeometric functions, orthogonal polynomials etc.) come up. …”
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Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators by Noureddine Azzouz, Bouharket Benaissa, Hüseyin Budak, İzzettin Demir

“…Then, we give new identities of this type with special functions depending on ψ. Moreover, we establish some new fractional integral inequalities connected with the right- and left-hand sides of Hermite-Hadamard-Mercer inequalities involving differentiable mappings whose absolute values of the derivatives are h-convex. …”
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Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable by Najla M. Alarifi, Rabha W. Ibrahim

“…A class of integral inequalities is investigated involving special functions. The upper bound of the suggested operator is computed by using the Fox-Wright function, for a class of convex functions and univalent functions. …”
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Fractional Model and Exact Solutions of Convection Flow of an Incompressible Viscous Fluid under the Newtonian Heating and Mass Diffusion by Ndolane Sene

“…The obtained solutions are expressed using some special functions as the Gaussian error function, Mittag–Leffler function, Wright function, and G-function. …”
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The g-generalized Mittag-Leffler (p,s,k)-function by Umbreen Ayub, Madiha Shafiq, Amir Abbas, Umair Khan, Anuar Ishak, Y.S. Hamed, Homan Emadifar

“…The Mittag-Leffler (ML) function exists in the study of special functions. It may be used to solve a variety of fractional differential equations (FDEs) including fractional Laplace and fractional Poisson equations. …”
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Preparation and Study of Multi-Heteroatom Carbon Nanotube as Excellent Electrocatalyst for Oxygen Reduction Reaction Using Polydopamine Derivative by Jian Yang, Lihong Niu, Zhijun Zhang, Liang Yan, Lingjun Chou

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Shaking Table Tests on Earthquake Response Characterization of a Complex Museum Isolated Structure in High Intensity Area by Wenguang Liu, Chuan Qin, Yang Liu, Wenfu He, Qiaorong Yang

“…Owing to special functional requirements of museum, such as great space and story height for exhibitions, large floor slab openings in plan and long span truss in elevation are becoming increasingly considered in museum design, which leads to challenges to structural safety. …”
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A Domain-Specific Architecture for Elementary Function Evaluation by Anuroop Sharma, Christopher Kumar Anand

“…Our example instruction architecture (ISA) extension supports scalar and vector/SIMD implementations of table-based methods of calculating all common special functions, with the aim of improving throughput by (1) eliminating the need for tables in memory, (2) eliminating all branches for special cases, and (3) reducing the total number of instructions. …”
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Computation and interpretation of mean absolute deviations by cumulative distribution functions by Eugene Pinsky

“…Moreover, the CDFs are often expressed in terms of special functions, and indefinite integrals and sums for these functions are well known. …”
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Crystal structure of dipyridine-k1N-tris(2,2,6,6-tetramethyl-5-oxohept-3-en-3-olato-k2O,O′)dysprosium(III), DyC43H67O6N2 by Ling Bo-Kai, Huang Ling-Yu

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Crystal structure of tetraaqua-bis(ethanol-κO)-tetrakis(μ2-trifluoroacetate-κ2O:O′)-bis(trifluoroacetate-κ2O)digadolinium(III) Gd2C16H20O18F18 by Ling Bo-Kai, Huang Ling-Yu

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Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms by David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr

“…In demonstrating this set of relations, the current study forges a systematic connection between the theory of MADEs and that of special functions. In a large subset of the general case, we introduce a new family of Schwartz wavelet MADE solutions Wμ,λt for μ and λ rational with λ>0. …”
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