Singular Solutions to a (3 + 1)-D Protter-Morawetz Problem for Keldysh-Type Equations by Nedyu Popivanov, Tsvetan Hristov, Aleksey Nikolov, Manfred Schneider

“…We consider a properly defined, in a special function space, generalized solution to problem PK for which existence and uniqueness theorems hold. …”
Get full text

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.…”
Get full text

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.…”
Get full text

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. …”
Get full text

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

Get full text

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

Get full text

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

Get full text

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

Get full text

Identifying and tuning coordinated water molecules for efficient electrocatalytic water oxidation by Geng Zhang, Wei Guo, Hong Zheng, Xiang Li, Jinxin Wang, Qiuyu Zhang

Get full text

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

Get full text

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

Get full text

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

Get full text

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.

Get full text

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.…”
Get full text

Poly (lactic acid)/Poly (butylene adipate-co-terephthalate) films with simultaneous high oxygen barrier and fast degradation properties by Mengjing Yang, Yuxi Mao, Penghui Zhang, Jie Li, Zeming Tong, Zhenguo Liu, Yanhui Chen

Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text

Some inequalities for eigenvalues of an elliptic differential operator by Shahroud Azami, Mosayeb Zohrehvand, Ghodratallah Fasihi-Ramandi

“…Applying this inequality, we give universal estimates  for eigenvalues on compact domains of  complete submanifolds in an Euclidean space, and of complete manifolds admitting special functions. Finally, we find universal bounds on  the $(k+1)$-th eigenvalue on such objects in terms of the first $k$ eigenvalues independent of  the domains.…”
Get full text

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.…”
Get full text