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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

On some properties of generalized Struve function

İbrahim Aktaş(KARAMANOĞLU MEHMETBEY ÜNİVERSİTESİ)0000-0003-4570-4485
Halit Orhan(ATATÜRK ÜNİVERSİTESİ)
Dorina Raducanu0000-0003-2348-1874
Sayfa
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Yayın Tarihi
2020-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, we prove that a function related to generalized Struve function is increasing function on R.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The main purpose of this investigation is to present some monotonic and log-concavity properties of the generalized Struve function.
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Temel Bulgular & Veri:By using Hadamard product representation of the generalized Struve function, we investigate the sign of this function on some sets.
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Sonuç & Katkı:In addition, we prove that a function related to generalized Struve function is increasing function on R.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Gamma function · generalized Struve function · log-concavity

Abstract

The main purpose of this investigation is to present some monotonic and log-concavity properties of the generalized Struve function. By using Hadamard product representation of the generalized Struve function, we investigate the sign of this function on some sets. Also, we determine an interval such that the generalized Struve function is decreasing in this interval. Moreover, we show that generalized Struve function is strictly logaritmically concave on some intervals. In addition, we prove that a function related to generalized Struve function is increasing function on R.

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Bu Makaleye Atıf Yap

Aktaş, İ., Orhan, H., Raducanu, D. (2020). On some properties of generalized Struve function. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.595570

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Kaynakça (12)

  1. Aktaş, İ. On some properties of hyper-Bessel and related functions, TWMS J. App. Eng. Math., 9(1) (2019), 30--37.
  2. Aktaş, İ. Baricz, Á. and Orhan, H., Bounds for the radii of starlikeness and convexity of some special functions, Turk. J. Math., 42(1) (2018), 211--226.
  3. Aktaş, İ., Baricz, Á. and Singh, S. Geometric and monotonic properties of hyper-Bessel functions, Ramanujan J., doi.org/10.1007/s11139-018-0105-9
  4. Baricz, Á. Geometric properties of generalized Bessel functions, Publ. Math. Debrecen, 73 (2008), 155--178.
  5. Baricz, Á. and Pogány, T. K. Functional inequalities of modified Struve functions, P. Roy. Soc. Edinb. A, 144(5) (2014), 891--904.
  6. Biernacki, M. and Krzyż, J. On the monotonity of certain functionals in the theory of analytic functions, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 9 (1955), 135--147.
  7. Mohtasami Borzadaran, G. R. and Mohtasami Borzadaran, H. A. Log-Concavity property for some well-known distributions, Surv. Math. Appl., 6 (2011), 203--219.
  8. Mondal, S.R. and Akel, M.S. Differential equation and inequalities of the generalized k-Bessel functions, J. Inequal. Appl., 2018:175 (2018).
  9. Srivastava, H. M. and Bansal, D. Close-to-convexity of a certain family of q-Mittag-Leffler functions, J. Nonlinear Var. Anal., 1 (2017), 61--69.
  10. Srivastava H.M., Murugusundaramoorthy G. and Janani T. Uniformly Starlike Functions and Uniformly Convex Functions Associated with the Struve Function, J. Appl. Computat. Math., 3: 180. doi: 10.4172/2168-9679.1000180
  11. Srivastava, H. M., Murugusundaramoorthy, G. and Sivasubramanian, S. Hypergeometric functions in the parabolic starlike and uniformly convex domains, Integr. Transforms Spec. Funct., 18 (2007), 511--520.
  12. Toklu, E. Radii of starlikeness and convexity of generalized Struve functions, Hacettepe J. Math. Stat., (Accepted).