Paley and Hardy's inequalities for the Fourier-Dunkl expansions by Anis Elgarna

“…Originality/value – Dunkl theory is a generalization of Fourier analysis and special function theory related to root systems. Establishing Paley and Hardy's inequalities in these settings is a participation in extending the Dunkl harmonic analysis as it has many applications in mathematical physics and in the framework of vector valued extensions of multipliers.…”
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On Analytical Continuation of the Horn’s Hypergeometric Functions <i>H</i>₃ and Their Ratios by Roman Dmytryshyn, Tamara Antonova, Sofiia Hladun

“…This paper also contains an example of the presentation and continuation of some special function and an analysis of numerical results.…”
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A Comprehensive Analysis of Robustness in Interdependent Mechatronic Systems under Attack Strategies by Gang Xu, Yanhui Wang, Yucheng Hao, Limin Jia, Zeyun Yang, Zhichao He

“…With the development of mechatronic systems, different kinds of subsystems within them are highly correlated to each other due to the demand for the special function. To assess the robustness in the mechatronic system under various disturbances, we build an interdependent mechatronic system as an interdependent machine-electricity-communication network (IMECN) and adopt the improved cascading failure model where the occurrence of the failure propagation is decided by a proportion threshold δ. …”
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Synthesis, Crystal Structures, and Antimicrobial and Antitumor Studies of Two Zinc(II) Complexes with Pyridine Thiazole Derivatives by Zou Xun-Zhong, Feng An-Sheng, Zeng Fu-Ran, Lai Min-Cheng, Liao Yan-Zhi, Mei Meng, Li Yu

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Hydrothermal Synthesis of Nitrogen-Doped Titanium Dioxide and Evaluation of Its Visible Light Photocatalytic Activity by Junjie Qian, Guanjun Cui, Mingjun Jing, Yan Wang, Min Zhang, Jianjun Yang

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Realizing low voltage-driven bright and stable quantum dot light-emitting diodes through energy landscape flattening by Yiting Liu, Yingying Sun, Xiaohan Yan, Bo Li, Lei Wang, Jianshun Li, Jiahui Sun, Yaqi Guo, Weipeng Liu, Binbin Hu, Qingli Lin, Fengjia Fan, Huaibin Shen

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Integration of ordered porous materials for targeted three-component gas separation by Xue Jiang, Yu Wang, Hui Wang, Lu Cheng, Jian-Wei Cao, Jin-Bo Wang, Rong Yang, Dong-Hui Zhang, Run-Ye Zhang, Xiu-Bo Yang, Su-Hang Wang, Qiu-Yu Zhang, Kai-Jie Chen

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Investigation on the Mechanical and Thermal Insulation Properties of Hollow Microspheres/Phenolic Syntactic Foams by Jing Dai, Chao Peng, Shuyue Zhang, Shun Wu, Minxian Shi, Zhixiong Huang

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Perovskite Thin Film Solar Cells Based on Inorganic Hole Conducting Materials by Pan-Pan Zhang, Zheng-Ji Zhou, Dong-Xing Kou, Si-Xin Wu

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Enhanced Visible Light Photocatalytic Activity for TiO2 Nanotube Array Films by Codoping with Tungsten and Nitrogen by Min Zhang, Juan Wu, DanDan Lu, Jianjun Yang

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Isothermal section of the Ni-Mn-Sb ternary system at 773K by Ao W.-Q., Yu H.-Z., Liu F.-L., Liu F.-S., Li J.-Q., Du Y., Liu S.-H., Shi C.-Y.

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Nested derivatives: a simple method for computing series expansions of inverse functions by Diego Dominici

“…We show several examples of its application in calculating the inverses of some special functions.…”
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Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp by Dae San Kim, Taekyun Kim

“…Recently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp. …”
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Finite Integral Formulas Involving Multivariable Aleph-Functions by Hagos Tadesse, D. L. Suthar, Minilik Ayalew

“…The main results of our paper are quite general in nature and competent at yielding a very large number of integrals involving polynomials and various special functions occurring in the problem of mathematical analysis and mathematical physics.…”
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A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function by Nirmal Kumar Jangid, Sunil Joshi, Ekta Mittal

“…Further, we are also considering the integral formulae, which involve various special functions. Interesting special cases of the main results are also considered. …”
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On the Lauwerier formulation of the temperature field problem in oil strata by Lyubomir Boyadjiev, Ognian Kamenov, Shyam Kalla

“…The solution is obtained in an integral form, where the integrand is expressed in terms of a convolution of two special functions of Wright type.…”
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The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function by S. Chandak, Biniyam Shimelis, Nigussie Abeye, A. Padma

“…In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.…”
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On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions by Muajebah Hidan, Mohamed Akel, Salah Mahmoud Boulaaras, Mohamed Abdalla

“…Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering. …”
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Estimates for Eigenvalues of the Elliptic Operator in Divergence Form on Riemannian Manifolds by Shenyang Tan, Tiren Huang, Wenbin Zhang

“…We also get universal inequalities for eigenvalues of elliptic operators in divergence form on compact domains of complete submanifolds admitting special functions which include the Hadamard manifolds with Ricci curvature bounded below and any complete manifolds admitting eigenmaps to a sphere.…”
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On monomiality property of q-Gould-Hopper-Appell polynomials by Nusrat Raza, Mohammed Fadel, Subuhi Khan

“…Recently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. …”
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