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    Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function by Naci Taşar, Fethiye Müge Sakar, Seher Melike Aydoğan, Georgia Irina Oros

    Published 2024-11-01
    “…The investigation reveals inclusion relations concerning harmonic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-uniformly starlike mappings in the open unit disc, harmonic starlike functions and harmonic convex functions, highlighting the improvements given by the results presented here on previously published outcomes.…”
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  5. 85

    Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions by Yue Qiu, Yongshun Liang

    Published 2025-02-01
    “…The Weierstrass function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>W</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mstyle displaystyle="true"><munderover><mo>∑</mo><mrow><mi>n</mi><mo>=</mo><mn>1</mn></mrow><mo>∞</mo></munderover></mstyle><mrow><msup><mi>a</mi><mi>n</mi></msup><mo form="prefix">cos</mo><mrow><mo>(</mo><mn>2</mn><mi>π</mi><msup><mi>b</mi><mi>n</mi></msup><mi>x</mi><mo>)</mo></mrow></mrow></mrow></semantics></math></inline-formula> is a function that is continuous everywhere and differentiable nowhere. …”
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  6. 86

    The Norm Function for Commutative <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">Z</mi><mn>2</mn></msub></semantics></math></inline-formula>-Graded Rings by Azzh Saad Alshehry, Rashid Abu-Dawwas

    Published 2024-12-01
    “…For any <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>x</mi><mo>∈</mo><mi>R</mi></mrow></semantics></math></inline-formula>, we consider the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><msubsup><mi>x</mi><mn>0</mn><mn>2</mn></msubsup><mo>−</mo><msubsup><mi>x</mi><mn>1</mn><mn>2</mn></msubsup></mrow></semantics></math></inline-formula>. …”
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    Sharp Coefficient Bounds for Analytic Functions Related to Bounded Turning Functions by Sudhansu Palei, Madan Mohan Soren, Luminiţa-Ioana Cotîrlǎ, Daniel Breaz

    Published 2025-06-01
    “…Additionally, we obtain sharp Krushkal and Zalcman functional-type inequalities related to the logarithmic coefficient for functions belonging to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">B</mi></semantics></math></inline-formula>.…”
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  11. 91

    Applications of <i>q</i>-Bessel-Struve Functions on Univalent Functions by Saddaf Noreen, Saiful R. Mondal, Muhey U. Din, Saima Mushtaq, Zhang Wei, Adil Murtaza

    Published 2025-06-01
    “…These new inequalities, under which the three normalizations of <i>q</i>-Bessel–Struve functions are <i>q</i>-close-to-convex associated with certain functions, hold for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>v</mi><mo>≥</mo><mstyle scriptlevel="0" displaystyle="true"><mfrac><mrow><mo>−</mo><mn>3</mn></mrow><mn>2</mn></mfrac></mstyle></mrow></semantics></math></inline-formula> and for all <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mo>∈</mo><mfenced separators="" open="(" close=")"><mn>0</mn><mo>,</mo><mn>1</mn></mfenced></mrow></semantics></math></inline-formula>. …”
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    Dialogue in In-Depth Cognition of the Subject’s Psyche: Functioning of Pragmatic Referent Statements by Тамара Яценко, Ернест Івашкевич, Любов Галушко, Лариса Кулакова

    Published 2022-03-01
    “…The nature of emphasized by us pragmatic-implicit reference statements, the peculiarities of their functioning in the whole text fragment will resemble semantic performatives. …”
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    On the Product of Zeta-Functions by Nianliang Wang, Kalyan Chakraborty, Takako Kuzumaki

    Published 2025-06-01
    “…In this paper, we study the Bochner modular relation (Lambert series) for the <i>k</i>th power of the product of two Riemann zeta-functions with difference <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>, an integer with the Voronoĭ function weight <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>V</mi><mi>k</mi></msub></semantics></math></inline-formula>. …”
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  17. 97

    On Spirallikeness of Entire Functions by Narjes Alabkary, Saiful R. Mondal

    Published 2025-05-01
    “…In this article, we establish conditions under which certain entire functions represented as infinite products of their positive zeros are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-spirallike of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">cos</mo><mo>(</mo><mi>α</mi><mo>)</mo><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>. …”
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  18. 98

    The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals by Antanas Laurinčikas

    Published 2025-06-01
    “…In this paper, we obtain approximation theorems of classes of analytic functions by shifts <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>L</mi><mo>(</mo><mi>λ</mi><mo>,</mo><mi>α</mi><mo>,</mo><mi>s</mi><mo>+</mo><mi>i</mi><mi>τ</mi><mo>)</mo></mrow></semantics></math></inline-formula> of the Lerch zeta-function for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>τ</mi><mo>∈</mo><mo>[</mo><mi>T</mi><mo>,</mo><mi>T</mi><mo>+</mo><mi>H</mi><mo>]</mo></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>∈</mo><mo>[</mo><msup><mi>T</mi><mrow><mn>27</mn><mo>/</mo><mn>82</mn></mrow></msup><mo>,</mo><msup><mi>T</mi><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><mo>]</mo></mrow></semantics></math></inline-formula>. …”
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