Results 61 to 70 of about 1,609 (176)

“Addition” theorems for some $q$-exponential and $q$-trigonometric functions [PDF]

open access: yesMethods and Applications of Analysis, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Forecasting Count Data With Varying Dispersion: A Latent‐Variable Approach

open access: yesJournal of Forecasting, Volume 45, Issue 4, Page 1985-2000, July 2026.
ABSTRACT Count data, such as product sales and disease case counts, are common in business forecasting and many areas of science. Although the Poisson distribution is the best known model for such data, its use is severely limited by its assumption that the dispersion is a fixed function of the mean, which rarely holds in real‐world scenarios.
Easton Huch   +3 more
wiley   +1 more source

A Completeness Theorem for Trigonometric Identities and Various Results on Exponential Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1986
All valid identities in terms of variables, real constants, the arithmetic operations of addition and multiplication, and the trigonometric operations of sine and cosine are shown to be consequences of a few familiar identities and numerical facts. We also indicate how to decide whether
openaire   +1 more source

A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley   +1 more source

Analytical calculation of a class of integrals containing exponential and trigonometric functions [PDF]

open access: yesMathematics of Computation, 1983
It is shown how to evaluate analytically integrals from 0 to 2 π
openaire   +1 more source

Modelling medical data using the cosine generalized exponential distribution

open access: yesArray
The volume of data accessible for analysis is expanding rapidly, necessitating the development of new probability distributions to better represent each phenomenon or experiment researched.
Laban Gasper   +2 more
doaj   +1 more source

Exact traveling wave solutions to the (3+1)-dimensional mKdV–ZK and the (2+1)-dimensional Burgers equations via exp(−Φ(η))-expansion method

open access: yesAlexandria Engineering Journal, 2015
In this work, the exact traveling wave solutions to the (3+1)-dimensional mKdV–ZK equation and the (2+1)-dimensional Burgers equation are studied using the exp(-Φ(η))-expansion method.
Md. Nur Alam   +3 more
doaj   +1 more source

Bicomplex Numbers and their Elementary Functions</a> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Cubo</i>, 2012 </span><br><span class="r_content">En este artículo introducimos el algebra de números bicomplejos como una generalizacion del campo de números complejos. Describimos como definir funciones elementales en tales algebras (polinomios y funciones exponenciales y trigonometricas) así como sus </span><br><span class="r_sub"><i>M.E LUNA-ELIZARRARÁS<span id="ma_8" style="display:none">, M SHAPIRO, D.C STRUPPA, A VAJIAC</span>   <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_8')">+3 more</a></small></i></span><br><small><a href="https://doaj.org/article/08a611fe6d0e4a16a3ca5e2214e2ff55" target="_blank" rel="nofollow" title="doaj.org/article/08a611fe6d0e4a16a3ca5e2214e2ff55">doaj</a> </small>   <br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.29169/1927-5129.2025.21.08" target="_blank" rel="nofollow">A Study on Fractional Integral Inequalities for Trigonometric and Exponential Trigonometric-convex Functions</a> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Journal of Basic & Applied Sciences</i></span><br><span class="r_content">Inequalities involving fractional operators have also been an active area of research. These inequalities play a crucial role in establishing bounds, estimates, and stability conditions for solutions to fractional integrals. In this paper, firstly we establish these new identities for the case of twice differentiable functions and Caputo-Fabrizio ...</span><br><span class="r_sub"><i>Shumin, Li<span id="ma_9" style="display:none">, BUDAK, HÜSEYİN, Kara, Hasan, HEZENCİ, FATİH, Munir, Arslan</span>   <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_9')">+4 more</a></small></i></span><br><small><a href="https://explore.openaire.eu/search/publication?pid=10.29169%2F1927-5129.2025.21.08" target="_blank" rel="nofollow" title="openaire.eu/search/publication?pid=10.29169%2F1927-5129.2025.21.08">openaire</a> </small>   <div id="more_9" style="display:none"><a href="/sci_redir.php?doi=10.29169%2F1927-5129.2025.21.08" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="https://avesis.kocaeli.edu.tr/publication/details/22f92d9e-c66d-41a5-a969-61fe01152bb8/oai" target="_blank" rel="nofollow" title="avesis.kocaeli.edu.tr/publication/details/22f92d9e-c66d-41a5-a969-61fe01152bb8/oai">avesis.kocaeli.edu.tr</a><br> <a href="javascript:navigator.clipboard.writeText('10.29169/1927-5129.2025.21.08'); alert('Copied the doi');">copy doi</a> <small>(10.29169/1927-5129.2025.21.08)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_9')">+2 more sources</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.13140/rg.2.2.11588.27527" target="_blank" rel="nofollow">Formulae for the exponential, the hyperbolic and the trigonometric functions in terms of the logarithmic function</a> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16">, 1991 </span><br><span class="r_content">A common definition of the exponential function is as the inverse function of the logarithmic function, which is defined as the definite integral of the rational function 1/t over the interval [1,x] with x > 0. The hyperbolic functions (hyperbolic sine, cosine, tangent, etc.) are next defined in terms of the exponential function.</span><br><span class="r_sub"><i>Ioakimidis, Nikolaos<span id="ma_10" style="display:none">, Anastasselou, Eleni</span>   <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_10')">+1 more</a></small></i></span><br><small><a href="https://explore.openaire.eu/search/publication?pid=10.13140%2Frg.2.2.11588.27527" target="_blank" rel="nofollow" title="openaire.eu/search/publication?pid=10.13140%2Frg.2.2.11588.27527">openaire</a> </small>   <div id="more_10" style="display:none"><a href="/sci_redir.php?doi=10.13140%2Frg.2.2.11588.27527" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="https://hdl.handle.net/10889/10842" target="_blank" rel="nofollow" title="hdl.handle.net/10889/10842">hdl.handle.net</a><br> <a href="javascript:navigator.clipboard.writeText('10.13140/rg.2.2.11588.27527'); alert('Copied the doi');">copy doi</a> <small>(10.13140/rg.2.2.11588.27527)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_10')">+2 more sources</a></small><br></div><div class="r"><div style="margin-bottom:2px;overflow:hidden"><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-mathematics/" class="suggestion"onclick="show_loader();"><b>mathematics</b></a><br/><a href="/q-trigonometric_functions/" class="suggestion"onclick="show_loader();"><b>trigonometric functions</b></a><br/><a href="/q-monotonically_decreasing_function/" class="suggestion"onclick="show_loader();"><b>monotonically decreasing function</b></a><br/></div><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-monotonically_increasing_function/" class="suggestion"onclick="show_loader();"><b>monotonically increasing function</b></a><br/><a href="/q-fos%3A_mathematics/" class="suggestion"onclick="show_loader();"><b>fos: mathematics</b></a><br/><a href="/q-trigonometric_function/" class="suggestion"onclick="show_loader();"><b>trigonometric function</b></a><br/></div><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-laplace_transform/" class="suggestion"onclick="show_loader();"><b>laplace transform</b></a><br/><a href="/q-rational_approximation/" class="suggestion"onclick="show_loader();"><b>rational approximation</b></a><br/><a href="/q-qa1-939/" class="suggestion"onclick="show_loader();"><b>qa1-939</b></a><br/></div></div></div><div class="pagenav"><a href="/q-exponential_and_trigonometric_functions/p-6/" rel="nofollow"><b>previous</b></a>   <a href="/q-exponential_and_trigonometric_functions/p-5/" rel="nofollow">5</a>  <a href="/q-exponential_and_trigonometric_functions/p-6/" rel="nofollow">6</a>  <b>7</b>  <a href="/q-exponential_and_trigonometric_functions/p-8/" rel="nofollow">8</a>  <a href="/q-exponential_and_trigonometric_functions/p-9/" rel="nofollow">9</a>   <a href="/q-exponential_and_trigonometric_functions/p-8/" id="next" rel="nofollow"><b>next</b></a> </div><br></div> </div> <script>document.getElementById('loadingGif').style.display='none';</script><div style="width: 100%; height: 40px; bottom: 0px; background-color: #f5f5f5;"><div style="padding-left: 15px; padding-top: 10px"> <a href="/" rel="nofollow">Home</a> - <a href="/page-about/" rel="nofollow">About</a> - <a href="/page-disclaimer/" rel="nofollow">Disclaimer</a> - <a href="/page-privacy/" rel="nofollow">Privacy</a> </div></div> <link rel="stylesheet" href="//ajax.googleapis.com/ajax/libs/jqueryui/1.11.4/themes/smoothness/jquery-ui.min.css"/> <script> (function(ss,ex){ window.ldfdr=window.ldfdr||function(){(ldfdr._q=ldfdr._q||[]).push([].slice.call(arguments));}; (function(d,s){ fs=d.getElementsByTagName(s)[0]; function ce(src){ var cs=d.createElement(s); cs.src=src; cs.async=1; fs.parentNode.insertBefore(cs,fs); }; ce('https://sc.lfeeder.com/lftracker_v1_'+ss+(ex?'_'+ex:'')+'.js'); })(document,'script'); })('JMvZ8gvrWA9a2pOd'); </script> </body> </html>