Results 11 to 20 of about 80 (79)

Summation of some infinite series by the methods of Hypergeometric functions and partial fractions

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In this article we obtain the summations of some infinite series by partial fraction method and by using certain hypergeometric summation theorems of positive and negative unit arguments, Riemann Zeta functions, polygamma functions, lower case beta ...
M.I. Qureshi, J. Majid, A.H. Bhat
doaj   +1 more source

A Series Representation for the Hurwitz–Lerch Zeta Function

Axioms, 2021
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

Euler Sums and Integral Connections

Mathematics, 2019
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by notations used in the body of the paper.
Anthony Sofo, Amrik Singh Nimbran
doaj   +1 more source

Dual Taylor Series, Spline Based Function and Integral Approximation and Applications

Mathematical and Computational Applications, 2019
In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
doaj   +1 more source

Exploring Explicit Definite Integral Formulae with Trigonometric and Hyperbolic Functions

Axioms
Making use of integration by parts and variable replacement methods, we derive some interesting explicit definite integral formulae involving trigonometric or hyperbolic functions, whose results are expressed in terms of Catalan’s constant, Dirichlet’s ...
Yulei Chen, Dongwei Guo
doaj   +1 more source

Role of Liquid Composition in the Transient Liquid Assisted Growth of Superconducting YBa2Cu3O7‐δ Films

Advanced Materials, EarlyView.
The Y supersaturation in the [Ba‐Cu(I/II)‐O] transient liquid composition is the driving force toward YBCO nucleation and growth in TLAG. Tuning the initial (Ba:Cu) molar ratio in the ink composition determines the YBCO epitaxial nucleation through supersaturation control.
Lavinia Saltarelli, Diana García, Laia Soler, Elzbieta Pach, Kapil Gupta, Daniel Sanchez‐Rodriguez, Jordi Aguilar, Víctor Fuentes, Eduardo Solano, Cristian Mocuta, Jordi Farjas, Xavier Obradors, Teresa Puig   +12 more
wiley   +1 more source

Microscopic Insights into Magnetic Warping and Time‐Reversal Symmetry Breaking in Topological Surface States of Rare‐Earth‐Doped Bi2Te3

Advanced Materials, EarlyView.
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano, Fabián Calleja, Ji Dai, Massimo Tallarida, Vera Marinova, Alessandro Barla, Marc G. Cuxart, Pierluigi Gargiani, Gonzalo N. Molina, José Angel Silva‐Guillén, Adriana I. Figueroa, Kevin García‐Díez, Sergio O. Valenzuela, Aitor Mugarza, Amadeo L. Vázquez de Parga, Rodolfo Miranda, Francisco Guinea, Manuela Garnica, Miguel A. Valbuena   +18 more
wiley   +1 more source

Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD

Advanced Materials, EarlyView.
Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo, Masoud Mansouri, Carlos Garcia‐Fernandez, Daniel Sánchez‐Portal, Aran Garcia‐Lekue, Gustavo Ceballos, Aitor Mugarza   +6 more
wiley   +1 more source

Porous Hybrid Soft Actuators From Liquid Crystal Networks and Lyotropic Chromonic Liquid Crystal Templated Hydrogels

Advanced Materials, EarlyView.
The graphic illustrates the design of a hybrid bilayer composed of a liquid crystal hydrogel (LCH) and a liquid crystal network (LCN). The figure highlights the magnetic alignment of the chromonic hydrogel and the thermal‐responsive actuation of the LCN along with the LCH when both layers are aligned or misaligned, enabling programmable, light‐driven ...
Ramón Santiago Herrera Restrepo, Irving Hafed Tejedor García, Matthew Gene Scarfo, Negin Bouzari, Negar Rajabi, Olga Bantysh, Joel Torres‐Andrés, Christopher W. V. James, Maria Guix, Amirreza Aghakhani, Jordi Ignés‐Mullol, Salvador Pané, Josep Puigmartí‐Luis, Hamed Shahsavan   +13 more
wiley   +1 more source

High‐Throughput Screening of REBCO Superconducting Thin Films Fabricated Via Combinatorial Inkjet Printing and TLAG Process

Advanced Materials Technologies, EarlyView.
A methodological framework is presented for combinatorial REBCO thin films fabricated by drop‐on‐demand inkjet printing with controlled Rare Earth composition gradients. Automated, synchrotron‐based, and local characterization techniques produce comprehensive property maps that correlate composition and TLAG process parameters with superconducting ...
Emma Ghiara, Zeyu Wu, Mahel Voulhoux, Ona Mola Bertran, Vittorio Bertini, Carla Torres, Aiswarya Kethamkuzhi, Guilherme Theophilo Telles, Victor Fuentes, Elzbieta Pach, Cornelia Pop, Eduardo Solano, Kapil Gupta, Takanobu Kiss, Xavier Obradors, Teresa Puig   +15 more
wiley   +1 more source