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Recreational potential as an indicator of accessibility control in protected mountain forest areas

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Journal of Mountain Science 2017年第7期14卷 1419-1427页

作者： Tomasz DUDEK Department of Agroecology University of Rzeszów

The article presents research findings related to recreational use of forests located in protected mountainous areas with forestage of over 80%. The study was designed to identify recreational potential of the Carpathian national parks （Bieszczady National Park, Bahia G6ra National Park, Goree National Park and Magura National Park; southern Poland） and to compare these findings with the actual number of visitors. The information received on the recreational potential of parks is important from the point of view of protection of natural resources and the financial situation of the parks. The calculated ratio may be an effective tool of management for park administration, that allows to reconcile statutory social and protective functions of national parks. The study determined the recreational potential of the forests with the use of recreational valorisation method designed for areas with varied terrain, and the evaluated factors included the stands of trees with their habitat and land relief. The permissible number of national park visitors, expressed as man- hour/ha/year ranges from 19.31 in Bieszczady National Park （BG： 19~ 35＇ E, 49~ 35＇ N） to 32.06 in in Bieszczady National Park （B： 22~ 40＇ E, 49~ lo＇ N）. In 3 out of 4 investigated parks, Magura National Park （M： 21025＇ E, 49~ 30＇ N）, Gorce National Park （G： 20~ lo＇ E, 49~ 35＇ N）, B） recreation carrying capacity was not exceeded, whether or not the strictly protected area is taken into account. Only in BG was the recreation carrying capacity exceeded by nearly 24%, or by 85% if the strictly protected area isexcluded from tourism-related exploitation. The presented procedure for monitoring access to mountain forests in national parks, from the viewpoint of natural resources conservation, can be applied in other mountainous areas covered with forests and exposed to tourist and recreational traffic, and in forests facing particular risk of recreational damage, e.g. in urban and suburban forests growing in areas wi

关键词： Forest recreation Recreational capacity Protected areas Mountain forests the Carpathians

NEw SUBCLASS OF ANALYTIC FUNCTIONS IN CONICAL DOMAIN ASSOCIATED wITH A LINEAR OPERATOR

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Acta Mathematica Scientia 2016年第3期36卷 704-716页

作者： Muhammed ARIF Shahid MAHMOOD Janusz SOKOL Jacek DZIOK Department of Mathematics Abdulwali Khan University Mardan Department of Mathematics Rzeszów University of Technology Institute of Mathematics University of Rzeszów

The main object of the present paper is to investigate a number of useful properties such as inclusion relations, distortion bounds, coefficient estimates, subordination results, the Fekete-Szego problem and some other for a new subclass of analytic functions, which are defined here by means of linear operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

关键词： analytie functions subordination functions with positive real part linear operators conic domains

Index of Atmospheric Purity reflects the ecological conditions better than the environmental pollution in the Carpathian forests

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Journal of Mountain Science 2020年第11期17卷 2691-2706页

作者： Magdalena TANONA Pawel CZARNOTA Department of Ecology and Environmental Protection University of RzeszówZelwerowicza 4 Street35-601 RzeszówPoland

The Index of Atmospheric Purity(IAP)is a popular tool used for the assessment of air quality in polluted urban areas,on the basis of phytosociological data of epiphytic lichen *** hypothesized that this indicator could also be used in less polluted forest areas to determine the quality of ecological conditions for *** aim of the present study was to verify the use of IAP method in the assessment of environmental pollution,and alternatively for the assessment of general ecological conditions in protected mountain forests of Gorce National Park(Polish western Carpathians)based on the epiphytic lichen biota associated with Picea *** spatial distribution of IAP values on monitored sites in GNP was compared with:1)spatial distribution of accumulated sulfur,nitrogen,selected heavy metals,and total heavy metals in Hypogymnia physodes thalli in 1993 and 2018(30 sites),2)mean ecological indicator values characterizing species requirements for light(L),substrate reaction(R)and nutrients(N),in 1993,2013 and 2018(33 sites).Generalized linear model and redundancy analysis were performed for disclosing most influencing factors affecting lichen *** study revealed a few negligible relationships between IAP values and accumulation of such elements as Ni,Mn,Cd,and Cr in both monitoring ***,IAP can be useful for the identification of forest areas with a high degree of naturalness.

关键词： Biomonitoring Lichens Forest ecology Norway spruce Ecological indices Environmental pollution

DIFFERENTIAL SUBORDINATIONS AND α-CONVEX FUNCTIONS

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Acta Mathematica Scientia 2013年第3期33卷 609-620页

作者： Jacek DZIOK Ravinder Krishna RAINA Janusz SOKóL Department of Mathematics Institute of Mathematics University of Rzeszówul. Rejtana 16A 35-310 Rzeszów Poland M.P. university of Agriculture and Technology Department of Mathematics Rzeszów University of TechnologyAl. Powstańców Warszawy 12 35-959 Rzeszów Poland

This article presents some new results on the class SLMα of functions that are analytic in the open unit disc U = {z ：｜z｜〈 1} satisfying the conditions that f（0） =0, f＇（0）= 1, and α（1＋zf＇＇（z）/f＇（z）＋（1-α）zf＇（z）/f（z）∈p（U）for all z ∈ U, where αis a real number and p（z）=1＋r^2z^2/1-Tz-T^2z^2（z∈ U）. The number T = （1 -√5）/2 is such that T^2 = 1 ＋ T. The class SFLMa introduced by J. Dziok, R.K. Raina, and J. Sokot [3, Appl. Math. Comput. 218 （2011）, 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory.

关键词： Univalent functions starlike functions subordination Fibonacci numbers trisectrix of Maclaurin conchoid of de Sluze

A UNIFIED CLASS OF ANALYTIC FUNCTIONS wITH FIXED ARGUMENT OF COEFFICIENTS

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Acta Mathematica Scientia 2011年第4期31卷 1357-1366页

作者： J. Dziok Institute of Mathematics University of Rzeszów ul.

In this paper we introduce new classes of analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of conv... 详细信息

关键词： analytic functions fixed argument subordination Hadamard product

MEROMORPHIC FUNCTIONS wITH BOUNDED BOUNDARY ROTATION

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Acta Mathematica Scientia 2014年第2期34卷 466-472页

作者： Jacek DZIOK Faculty of Mathematics and Natural Sciences University of Rzeszów

In this article, we generalize the class of meromorphic functions with bounded boundary rotation and related classes. Characterizations and some properties of these classes of functions are given.

关键词： Meromorphic functions bounded variation bounded boundary rotation

HARMONIC FUNCTION wITH CORRELATED COEFFICIENTS

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Acta Mathematica Scientia 2019年第6期39卷 1661-1673页

作者： Jacek DZIOK Faculty of Mathematics and Natural Sciences University of Rzeszów

In the paper we introduce an idea of harmonic functions with correlated coefficients which generalize the ideas of harmonic functions with negative coefficients introduced by Silverman and harmonic functions with varying coefficients defined by Jahangiri and Silverman. Next we define classes of harmonic functions with correlated coefficients in terms of generalized Dziok-Srivastava operator. By using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions. Some applications of the main results are also considered.

关键词： harmonic functions subordination starlike functions Dziok-Srivastava operator correlated coefficients

ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS wITH POSITIVE COEFFICIENTS

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Acta Mathematica Scientia 2012年第4期32卷 1376-1390页

作者： J.Dziok G.Murugusundaramoorthy J.Sokól Department of Mathematics Institute of MathematicsUniversity of Rzeszówul.Rejtana 16A35-310 RzeszówPoland School of Advanced Sciences VIT UniversityVellore-632014India Department of Mathematics Rzeszów University of Technologyul.W.Pola 235-959 RzeszówPoland

In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^＊：= {z ∈ C ： 0 〈｜z｜〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. we also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.

关键词： meromorphic functions starlike function convolution positive coefficients coefficient inequalities Dziok-Srivastava operator

ON A NEw CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR

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Acta Mathematica Scientia 2014年第5期34卷 1417-1426页

作者： Rabha w.IBRAHIM Janusz SOKóL Institute of Mathematical Sciences University Malaya Department of Mathematics Rzeszów University of Technologyul. W. Pola 2 35-959 Rzeszów Poland

Making use of the fractional differential operator, we impose and study a new class of analytic functions in the unit disk （type fractional differential equation）. The main object of this paper is to investigate inclusion relations, coefficient bound for this class. Moreover, we discuss some geometric properties of the fractional differential operator.

关键词： analytic function fractional calculus fractional differential operator univalentfunction unit disk bounded turning function